Refer to CBSE Class 9 Maths Herons Formula MCQs provided below available for download in Pdf. The MCQ Questions for Class 9 Mathematics with answers are aligned as per the latest syllabus and exam pattern suggested by CBSE, NCERT and KVS. Multiple Choice Questions for Chapter 12 Herons Formula are an important part of exams for Class 9 Mathematics and if practiced properly can help you to improve your understanding and get higher marks. Refer to more Chapter-wise MCQs for CBSE Class 9 Mathematics and also download more latest study material for all subjects
MCQ for Class 9 Mathematics Chapter 12 Herons Formula
Class 9 Mathematics students should refer to the following multiple-choice questions with answers for Chapter 12 Herons Formula in Class 9.
Chapter 12 Herons Formula MCQ Questions Class 9 Mathematics with Answers
Question. In the given figure, the area of the ΔABC is
(A) 13.24 cm2
(B) 12.28 cm2
(C) 11.32 cm2
(D) 15.37 cm2
Answer : B
Question. The difference between the semi-perimeter and the sides of a DABC are 8 cm, 7 cm and 5 cm respectively. The area of the triangle is______.
(A) 20√7 cm2
(B) 10√14 cm2
(C) 20√14 cm2
(D) 140 cm2
Answer : C
Question. If each side of the rhombus is 40 m and its longer diagonal is 48 m, then the area of rhombus is______.
(A) 1536 m2
(B) 1636 m2
(C) 1236 m2
(D) 1336 m2
Answer : A
Question. A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 26 cm, 28 cm and 30 cm, and the parallelogram stands on the base 28 cm, find the height of the parallelogram.
(A) 15 cm
(B) 14 cm
(C) 12 cm
(D) 13 cm
Answer : C
Question. The area of a parallelogram ABCD in which AB = 12 cm, BC = 9 cm and diagonal AC = 15 cm is k cm2. Find the value of k −100/4.
(A) 3
(B) 4
(C) 2
(D) 5
Answer : C
Question. The perimeter of a triangle is 540 m and its sides are in the ratio 25 : 17 : 12. Find its area.
(A) 9100 m2
(B) 9000 m2
(C) 9200 m2
(D) 9500 m2
Answer : B
Question. The perimeter of an isosceles triangle is 32 cm. The ratio of one of the equal sides to its base is 3 : 2. Find the area of the triangle.
(A) 48 cm2
(B) 28√3 cm2
(C) 32√2 cm2
(D) 44 cm2
Answer : C
Question. In the given parallelogram, find the length of the altitude from vertex A on the side DC.
(A) 18 cm
(B) 12 cm
(C) 15 cm
(D) 25 cm
Answer : C
Question. In the given figure, ΔABC has sides AB = 7.5 cm, AC = 6.5 cm and BC = 7 cm. On base BC a parallelogram ΔBCE of same area as that of DABC is constructed. Find the height DF of the parallelogram.
(A) 3 cm
(B) 6 cm
(C) 4 cm
(D) 2 cm
Answer : A
Question. The sides of a triangle are 11 cm, 15 cm and 16 cm. The altitude to the largest side is______.
(A) 30√7 cm
(B) (15√7/2)cm
(C) (15√7/4) cm
(D) 30 cm
Answer : C
Question. A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m.
The non-parallel sides are 14 m and 13 m.
Find the area of the field.
(A) 196 cm2
(B) 186 cm2
(C) 169 cm2
(D) 199 cm2
Answer : A
Question. A rhombus shaped sheet with perimeter 40 cm and one diagonal 12 cm, is painted on both sides at the rate of ₹ 5 per cm2. Find the cost of painting.
(A) ₹ 880
(B) ₹ 1020
(C) ₹ 960
(D) ₹ 980
Answer : C
Question. The area of a triangle, two sides of which are 8 cm and 11 cm and the perimeter is 32 cm is k √30 cm2. Find the value of k.
(A) 8
(B) 6
(C) 7
(D) 9
Answer : A
Question. The base of an isosceles triangle measures 24 cm and its area is 192 cm2. Find its perimeter.
(A) 64 cm
(B) 46 cm
(C) 84 cm
(D) 54 cm
Answer : A
Question. The perimeter of a field in the form of an equilateral triangle is 36 cm, then its area is given by
(A) 98√3 cm2
(B) 8√3 cm2
(C) 42√3 cm2
(D) 36√3 cm2
Answer : D
Question. Tanya joined four triangles of cardboard to create a mask of Joker as shown in the given figure. Find the total area of the mask. [Given √2 = 1.41, √3 = 1.73 ]
(A) 59.86 cm2
(B) 50 cm2
(C) 59 cm2
(D) 53 cm2
Answer : A
Question. An umbrella is made by stiching 12 triangular pieces of cloth of two different colours as shown in given figure. Each piece measuring 40 cm, 40 cm and 18 cm. How much cloth of each colour is required for the umbrella?
(A) 2104.56 cm2 , 2104.56 cm2
(B) 4209.22 cm2 , 2104.56 cm2
(C) 1204.61 cm2 , 1204.61 cm2
(D) 2014.61 cm2 ,1204.61 cm2
Answer : A
Question. A hand fan is made by stitching 10 equal size triangular strips of two different types of paper as shown below. The dimensions of equal strips are 25 cm, 25 cm and 14 cm. Find the total area of paper needed to make the hand fan.
(A) 840 cm2
(B) 1680 cm2
(C) 480 cm2
(D) 7844 cm2
Answer : B
Question. Right isosceles triangles are constructed on the sides of right angled ΔABC with sides 3, 4, 5 units, as shown. A capital letter indicates area of each triangle. Which one of the following is true?
(A) X + Z = Y + W
(B) W + X = Z
(C) Y + Z = X
(D) X + W = 1/2 (Y + Z)
Answer : C
Question. State 'T' for true and 'F' for false.
(I) The lengths of the three sides of a triangular field are 40 m, 24 m and 32 m respectively. The area of the triangle is 384 m2.
(II) The area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm is 18 cm2.
(III) An advertisement board is in the form of an isosceles triangle with its sides equal to 12 m, 10 m and 10 m. The cost of painting it at ₹ 2.25 per m2 is ₹ 112.
(IV) Heron's formula cannot be used to calculate area of quadrilaterals.
(I) (II) (III) (IV)
(A) T F F T
(B) F T F F
(C) T F T F
(D) T F F F
Answer : D
Question. Suman made a picture with some white paper and a single coloured paper as shown in figure. White paper is available at her home and free of cost. The cost of coloured paper used is at the rate of 10p per cm2.
Find the total cost of the coloured paper used. (Take √3 = 1.732 and √11 = 3.31)
(A) ₹ 14.92
(B) ₹ 14
(C) ₹ 16
(D) ₹ 13
Answer : A
Question. Find the cost of laying grass in a triangular field of sides 50 m, 65 m and 65 m at the rate of ₹ 7 per m2.
(A) ₹ 9500
(B) ₹ 11000
(C) ₹ 10500
(D) ₹ 12500
Answer : C
Question. ABC is an equilateral triangle of side 4√3 cm. P, Q and R are mid-points of AB, CA and BC respectively. Find the area of triangle PQR is ______.
(A) 3√3 cm2
(B) 2√3 cm2
(C) (√3/2)cm2
(D) (√3/4)cm2
Answer : A
Question. A design is made on a rectangular tile of dimensions 50 cm × 70 cm as shown in figure. The design shows 8 triangles, each of sides 26 cm, 17 cm and 25 cm. Find the total area of the design and the remaining area of the tile respectively.
(A) 1632 cm2, 1886 cm2
(B) 1538 cm2, 1632 cm2
(C) 1632 cm2, 1868 cm2
(D) 1538 cm2, 1632 cm2
Answer : C
Question. Find the area of quadrilateral ABCD in which AB = 9 cm, BC = 40 cm, CD = 28 cm, DA = 15 cm and ∠ABC = 90º.
(A) 300 cm2
(B) 180 cm2
(C) 126 cm2
(D) 306 cm2
Answer : D
Question. The sides of a triangular plot are in the ratio of 3 : 5 : 7 and its perimeter is 300 m. Find its area.
(a) 4√30
(b) 8√30
(c) 12√30
(d) 16√30
Question. Find the area of a triangle, two sides of which are 8 cm and 11 cm and the perimeter is 32 cm
(a) 1500√3
(b) 3000√3
(c) 4500√3
(d) 6000√3
Question. Find the area of a triangle two sides of which are 18cm and 10cm and the perimeter is 42cm.
(a) 14√11
(b) 21√11
(c) 35√11
(d) 21√11
Question. Sides of a triangle are in the ratio of 12 : 17 : 25 and its perimeter is 540cm. Find its area.
(a) 6000
(b) 9000
(c) 12000
(d) none of these
Question. The height corresponding to the longest side of the triangle whose sides are 42 cm, 34 cm and 20 cm in length is
(a) 15 cm
(b) 36 cm
(c) 16 cm
(d) none of these
Question. A park, in the shape of a quadrilateral ABCD, has
(a) 56.4 m2
(b) 55.4 m2
(c) 65.4 m2
(d) none of these
Question. Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.
(a) 15 cm2
(b) 15.4 cm2
(c) 15.2 cm2
(d) none of these
Question. If the area of an equilateral triangle is 81 3 cm2, then its height is
(a) 9√3
(b) 3√3
(c) 12√3
(d) none of these
Question. A rhombus shaped field has green grass for 18 cows to graze. If each side of the rhombus is 30 m and its longer diagonal is 48 m, how much area of grass field will each cow be getting?
(a) 45 m2
(b) 48 m2
(c) 51 m2
(d) none of these
Question. The altitude of a triangular field is one-third of its base. If the cost of sowing the field at Rs 58 per hectare is Rs. 783 then its altitude is
(a) 900 m
(b) 600 m
(c) 300 m
(d) none of these
Question. A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 26 cm, 28 cm and 30 cm, and the parallelogram stands on the base 28 cm, find the height of the parallelogram.
(a) 12 cm
(b) 15 cm
(c) 18 cm
(d) none of these
Question. Area of equilateral triangle of side a unit is
(a) √3/2a2
(b) √3/4a2
(c)√3/2a
(d) none of these
Question. The height of an equilateral triangle is 6 cm, then the area of the triangle is
(a) 15√3
(b) 3√3
(c) 12√3
(d) none of these
Question. The area of an isosceles triangle each of whose equal sides is 13 m and whose base is 24 m =
(a) 45 m2
(b) 48 m2
(c) 60 m2
(d) none of these
Question. The base of an isosceles triangle is 24 cm and its area is 192 cm2, then its perimeter is
(a) 64 cm
(b) 65 cm
(c) 68 cm
(d) none of these
Question. The difference between the sides at right angles in a right angled triangle is 14 cm. If the area of the triangle is 120 cm2, then the perimeter of the triangle is
(a) 64 cm
(b) 60 cm
(c) 68 cm
(d) none of these
Question. The base of a triangular field is three times its altitudes. If the cost of sowing the field at Rs 58 per hectare is Rs. 783 then its base is
(a) 900 m
(b) 600 m
(c) 1200 m
(d) none of these
Question. The length of altitude of a equilateral triangle of side a unit is
(a) √3/2a2
(b) √3/4a2
(c) √3/2a
(d) none of these
Question. The area of the triangle whose sides are 42 cm, 34 cm and 20 cm in length is
(a) 150 cm2
(b) 336 cm2
(c) 300 cm2
(d) none of these
Question. An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm. Find the area of the triangle in cm2 is.
(a) 9√15
(b) 12√15
(c) 6√15
(d) none of these
Question. The height corresponding to the longest side of the triangle whose sides are 91 cm, 98 cm and 105 cm in length is
(a) 76.4 cm
(b) 78.4 cm
(c) 65.4 cm
(d) none of these
Question. If the area of an equilateral triangle is 36√3 cm2, then its perimeter is
(a) 64 cm
(b) 60 cm
(c) 36 cm
(d) none of these
Question. The base of a right angled triangle is 48 cm and its hypotenuse is 50 cm then its area is
(a) 150 cm2
(b) 336 cm2
(c) 300 cm2
(d) none of these
Question. A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m. The non-parallel sides are 14 m and 13 m. Find the area of the field.
(a) 89.4 m2
(b) 89.075 m2
(c) 89.75 m2
(d) none of these
Question. A triangular park ABC has sides 120m, 80m and 50m . A gardener Dhania has to put a fence all around it and also plant grass inside. How much area in m2 does she need to plant?
(a) 9√15
(b) 12√15
(c) 6√15
(d) none of these
Question. The sides of a triangle are 35 cm, 54 cm and 61 cm, respectively. The length of its longest altitude:
(a) 16√5 cm
(b) 10√5 cm
(c) 24√5 cm
(d) 28 cm
Question. If the area of an equilateral triangle is 16√3 cm2, then the perimeter of the triangle is:
(a) 64 cm
(b) 60 cm
(c) 36 cm
(d) none of these
Question. The length of each side of an equilateral triangle having an area of 9√3 cm2 is:
(a) 8 cm
(b) 6 cm
(c) 36 cm
(d) 4 cm
Question. The area of an equilateral triangle with side is:
(a) 5.196 cm2
(b) 0.866 cm2
(c) 3.4896 cm2
(d) 1.732 cm2
Question. The sides of a triangle are 56 cm, 60 cm and 52 cm, then the area of the triangle is:
(a) 1322 cm2
(b) 1311 cm2
(c) 1344 cm2
(d) 1392 cm2
Question. The perimeter of an equilateral triangle is 60 m. The area is:
(a) 15√3 m2
(b) 3√3 m2
(c) 12√3 m2
(d) none of these
Question. An isosceles right triangle has area 8 cm2, then length of its hypotenuse is
(a) √32cm
(b) √16cm
(c) √48cm
(d) √24cm
Question. A traffic signal board indicating ‘SCHOOL AHEAD’ is an equilateral triangle with side a, then area of the traffic signal is
(a) √3/2a2
(b) √3/4a2
(c) √3/2a
(d) none of these
Question. The base of a triangle is 12 cm and height is 8 cm, then the area of a triangle is:
(a) 24 cm2
(b) 96 cm2
(c) 48 cm2
(d) 56 cm2
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MCQs for Mathematics CBSE Class 9 Chapter 12 Herons Formula
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Chapter 12 Herons Formula MCQs Mathematics CBSE Class 9
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Chapter 12 Herons Formula CBSE Class 9 MCQs Mathematics
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CBSE MCQs Mathematics Class 9 Chapter 12 Herons Formula
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