CBSE Class 10 Mathematics Triangles Worksheet Set 01

Class 10 Mathematics Practice Sheet: CBSE Class 10 Mathematics Triangles Worksheet Set 01

Explore structured practice materials through the CBSE Class 10 Mathematics Triangles Worksheet Set 01. Tailored for Class 10 learners, utilizing these Mathematics worksheets ensures thorough preparation and strengthens problem-solving accuracy before final school evaluations.

Download Chapter 6 Triangles Worksheet PDF with Answers

View or download the dedicated CBSE Class 10 Mathematics Triangles Worksheet Set 01 resource below. Engaging with these practice papers under focused study conditions ensures continuous academic progress and mastery of the 2026-27 curriculum 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

Free study material for Mathematics

Chapter 6 Triangles Printable Worksheets and Exercises for Class 10 Mathematics

Mastering Chapter 6 Triangles with Printable Worksheets

Explore reliable practice questions for Chapter 6 Triangles tailored for Class 10 Mathematics learners. Use these structured worksheets to evaluate exam preparedness and strengthen problem-solving skills throughout the 2026 academic session.

Verified Solutions and NCERT Alignment

Each worksheet draws directly from authorized standard textbooks to maintain academic accuracy. Evaluating your finished exercises against expert-verified solutions helps master the formal presentation standards expected in school evaluations.

Additional Study Resources for Class 10 Mathematics

Consistent engagement with these exercises builds familiarity with recurring exam themes. If specific areas within Chapter 6 Triangles cause trouble, utilize our dedicated NCERT solutions for Class 10 Mathematics to clear up doubts immediately.

FAQs

Where can I download the 2026-27 CBSE printable worksheets for Class 10 Mathematics Chapter 6 Triangles?

You can download the latest chapter-wise printable worksheets for Class 10 Mathematics Chapter 6 Triangles for free from StudiesToday.com. These have been made as per the latest CBSE curriculum for this academic year.

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Yes, Class 10 Mathematics worksheets for Chapter 6 Triangles focus on activity-based learning and also competency-style questions. This helps students to apply theoretical knowledge to practical scenarios.

Do the Class 10 Mathematics Chapter 6 Triangles worksheets have answers?

Yes, we have provided solved worksheets for Class 10 Mathematics Chapter 6 Triangles to help students verify their answers instantly.

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For Chapter 6 Triangles, regular practice with our worksheets will improve question-handling speed and help students understand all technical terms and diagrams.