CBSE Class 10 Mathematics Triangles Worksheet Set A

Read and download free pdf of CBSE Class 10 Mathematics Triangles Worksheet Set A. Students and teachers of Class 10 Mathematics can get free printable Worksheets for Class 10 Mathematics Chapter 6 Triangles in PDF format prepared as per the latest syllabus and examination pattern in your schools. Class 10 students should practice questions and answers given here for Mathematics in Class 10 which will help them to improve your knowledge of all important chapters and its topics. Students should also download free pdf of Class 10 Mathematics Worksheets prepared by teachers as per the latest Mathematics books and syllabus issued this academic year and solve important problems with solutions on daily basis to get more score in school exams and tests

Worksheet for Class 10 Mathematics Chapter 6 Triangles

Class 10 Mathematics students should refer to the following printable worksheet in Pdf for Chapter 6 Triangles in Class 10. This test paper with questions and answers for Class 10 will be very useful for exams and help you to score good marks

Class 10 Mathematics Worksheet for Chapter 6 Triangles

Case Study Based Questions

I. Rahul is studying in X Standard. He is making a kite to fly it on a Sunday. Few questions came to his mind while making the kite. Give answers to his questions by looking at the figure.

""CBSE-Class-10-Mathematics-Triangles-Worksheet-Set-A

Question. Rahul tied the sticks at what angles to each other?
(a) 30°
(b) 45°
(c) 90°
(d) 60°
Answer : C

Question. Which is the correct similarity criteria applicable for smaller triangles at the upper part of this kite?
(a) RHS
(b) SAS
(c) SSA
(d) AAS
Answer : B

Question. Sides of two similar triangles are in the ratio 4:9. Corresponding medians of these triangles are in the ratio
(a) 2:3
(b) 4:9
(c) 81:16
(d) 16:81
Answer : B

Question. In a triangle, if square of one side is equal to the sum of the squares of the other two sides, then the angle opposite to the first side is a right angle. This theorem is called as,
(a) Pythagoras theorem
(b) Thales theorem
(c) Converse of Thales theorem
(d) Converse of Pythagoras theorem
Answer : D

Question. What is the area of the kite, formed by two perpendicular sticks of length 6 cm and 8 cm?
(a) 48 cm2
(b) 14 cm2
(c) 24 cm2
(d) 96 cm2
Answer : A
 

II. For going to city B from city A, there is a route via city C such that AC ⊥ CB, AC = 2x km and CB = 2(x + 7) km. It is proposed to construct a 26 km highway which is directly connect the two cities A and B. In solving such problem authority of the cities have some questions in his mind. Give answer to his following questions:

""CBSE-Class-10-Mathematics-Triangles-Worksheet-Set-A-1

Question. Which theorem will you use to solve this problem?
(a) Pythagoras theorem
(b) Basic proportionality theorem
(c) Factor theorem
(d) Fundamental Theorem of Arithmetic
Answer : A

Question. What is the distance of AC?
(a) 15 km
(b) 18 km
(c) 10 km
(d) 20 km
Answer : C

Question. What is the distance of BC?
(a) 12 km
(b) 10 km
(c) 20 km
(d) 24 km
Answer : A

Question. Find how much distance will be saved in reaching city B from city A after the construction of the highway.
(a) 6 km
(b) 8 km
(c) 10 km
(d) 12 km
Answer : B

Question. If ∠A is supposed to be 30°, then ∠B = ?
(a) 30°
(b) 45°
(c) 60°
(d) 90°
Answer : C
 

III. Ravi is a student of Xth standard. He is drawing a square on a sheet of paper considering each side of the square as 8 cm. Now, he is drawing two equilateral triangles, one by taking side of the square as one of its side and another by taking diagonal of square as sides of another equilateral triangle. Later, few questions came to his mind and he wants to solve them. Give answers to his questions by drawing your own figure.

""CBSE-Class-10-Mathematics-Triangles-Worksheet-Set-A-2

Question. The diagonal of the square is
(a) 8√2 cm
(b) 8√3 cm
(c) 8√5 cm
(d) 8√6 cm
Answer : A

Question. The area of the square is
(a) 64 sq. cm
(b) 81 sq. cm
(c) 121 sq. cm
(d) 49 sq. cm
Answer : A

Question. The area of equilateral triangle by taking side of square as side of the triangle is
(a) 8√3 sq. cm
(b) 16√3 sq. cm
(c) 32√3 sq. cm
(d) 24√3 sq. cm
Answer : B

Question. The area of equilateral triangle by taking diagonal of square as the side of the equilateral triangle is
(a) 8√3 sq. cm
(b) 16√3 sq. cm
(c) 32√3 sq. cm
(d) 64√3 sq. cm
Answer : C

Question. Which is true order in area?
(a) Equilateral triangle on side < Square < Equilateral triangle with diagonal
(b) Equilateral triangle on side > Square > Equilateral triangle on diagonal
(c) Equilateral triangle on diagonal > Equilateral triangle on side > Square
(d) Square > Equilateral triangle on diagonal > Equilateral triangle on side
Answer : D

 

Question. Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer: (– 1, – 2), (1, 0), (– 1, 2), (– 3, 0)
Answer : 
Square

Question. Find the area of a rhombus if its vertices are (3, 0), (4, 5), (– 1, 4) and (– 2, – 1) taken in order. Also find the perimeter.
Answer : 
24 sq units

Question. A point P(1 ,𝑎) is at a distance of 3 units from the point Q(1,2) Find the value of ‘𝑎 ’
Answer : 
𝑎 = 5 𝑜𝑟 − 1

Question. The length of a line segment is 10. If it’s one end is at (2,−3)and other end is at (10,𝑦) then find the value(s) of y.
Answer : 
𝑦=3𝑜𝑟−9

Question. The point A(3,𝑦) is equidistant from the points P(6,5)and Q(0,− 3).Find the value of y.
Answer : 
1

Question. ABCD is a rectangle whose three vertices are B (4,0), C (4,3)and D (0,3).Find the length of one of its diagonals.
Answer : 
5𝑢𝑛𝑖𝑡𝑠

Question. Find the area of the quadrilateral ABCD, whose vertices are A(−3,−1),B (−2,−4),C(4,−1) and D (3,4).
Answer : 
28 𝑠𝑞 𝑢𝑛𝑖𝑡𝑠

Question. Find the distance between P(7,5) and Q(2,5)
Answer : 
5

Question. Prove that the points A(2,−1),B(3,4),C(−2,3) and D(−3,−2) are the vertices of a rhombus ABCD. Is ABCD a square?
Answer :
Do yourself

Question. Find a point P on the y- axis which is equidistant from the points A(4,8) and B(−6,6).Also find the distance AP.
Answer : 
(0.2); 2√13

Question. Determine the ratio in which the line 2x + y – 4 = 0 divides the line segment joining the points A(2, – 2) and B(3, 7).
Answer : 
Do yourself

 
 
Question. D and E are points on the sides AB and AC respectively of a ΔABC such that DE || BC. Find the value of x, when

 triangles notes 1

Question. Let X be any point on the side BC of a triangle ABC. If XM, XN are drawn parallel to BA and CA meeting CA, BA in M, N respectively; MN meets BC produced in T, prove that TX2 = TB × TC.

triangles notes 2

Question. In fig., EF || AB || DC. Prove that AE  =   BF
                                                              ED       FC
Sol. We have,
EF || AB || DC
=> EP || DC
Thus, in ΔADC, we have
EP || DC
Therefore, by basic proportionality theorem,
we have AE  =  AP          .... (i)
              ED      PC
 
 Again, EF || AB || DC
 
Again, EF || AB || DC
=> FP || AB
Thus, in ΔCAB, we have
FP || BA
Therefore, by basic proportionality theorem,
we have   BF   =   AP     ....(ii)
               FC        PC
From (i) and (ii), we have   AE   =   BF
                                        ED        FC
 
Question. In figure, ∠A = ∠ B and DE || BC. Prove that AD = BE
triangles notes 3
 
 
Question. In fig., DE || BC. If AD = 4x – 3, DB = 3x – 1,AE = 8x – 7 and EC = 5x – 3, find the value of x.
.triangles notes 4
Question. Prove that the line segment joining the midpoints of the adjacent sides of a quadrilateral form a parallelogram.

triangles notes 5

Question. In fig. DE || BC and CD || EF. Prove that AD2 = AB × AF.
Sol. In ΔABC, we have

triangles notes 6

Students must free download and practice these worksheets to gain more marks in exams. CBSE Class 10 Mathematics Triangles Worksheet Set A

Worksheet for CBSE Mathematics Class 10 Chapter 6 Triangles

We hope students liked the above worksheet for Chapter 6 Triangles designed as per the latest syllabus for Class 10 Mathematics released by CBSE. Students of Class 10 should download in Pdf format and practice the questions and solutions given in the above worksheet for Class 10 Mathematics on a daily basis. All the latest worksheets with answers have been developed for Mathematics by referring to the most important and regularly asked topics that the students should learn and practice to get better scores in their class tests and examinations. Expert teachers of studiestoday have referred to the NCERT book for Class 10 Mathematics to develop the Mathematics Class 10 worksheet. After solving the questions given in the worksheet which have been developed as per the latest course books also refer to the NCERT solutions for Class 10 Mathematics designed by our teachers. We have also provided a lot of MCQ questions for Class 10 Mathematics in the worksheet so that you can solve questions relating to all topics given in each chapter.

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