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🧾 CBSE · Class 10

Class 10 Maths: Triangles Worksheet (with Answers)

A free, print-ready worksheet on Triangles for CBSE Class 10 Maths, with a matching answer key. Use the sample below, or build your own with the exact mix of questions you need — no login, no ads.

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Sample worksheet

7 of 17 questions from this chapter. Generate your own for the full set, more variations, and a clean print layout.

  1. 1. The Basic Proportionality Theorem is also known as:
    • (a) the midpoint theorem
    • (b) Heron's formula
    • (c) Thales theorem
    • (d) Pythagoras theorem
  2. 2. If two triangles are similar, the ratio of their areas equals:
    • (a) 1
    • (b) the square of the ratio of their sides
    • (c) the ratio of their sides
    • (d) the cube of the ratio
  3. 3. In a right triangle, the square of the hypotenuse equals:
    • (a) the product of the other two sides
    • (b) the difference of the squares
    • (c) twice the base
    • (d) the sum of the squares of the other two sides
  4. 4. Two triangles with two pairs of equal angles are similar by:
    • (a) AA
    • (b) SAS
    • (c) SSS
    • (d) RHS
  5. 5. State the AA similarity criterion.
  6. 6. Are all squares similar? Why?
  7. 7. In triangle ABC, D and E are points on AB and AC such that DE ∥ BC. If AD = 4 cm, DB = 6 cm and AC = 15 cm, find AE.
View answers
  1. 1. (c) Thales theorem — The BPT is also called Thales' theorem.
  2. 2. (b) the square of the ratio of their sides — Areas are in the ratio of the squares of corresponding sides.
  3. 3. (d) the sum of the squares of the other two sides — Pythagoras: hyp² = base² + height².
  4. 4. (a) AA — Two equal angles is the AA similarity criterion.
  5. 5. If two angles of one triangle are equal to two angles of another, the triangles are similar.
  6. 6. Yes — all their angles are 90° and corresponding sides are in equal ratio.
  7. 7. By BPT, AD/DB = AE/EC. Let AE = x, then EC = 15 − x. So 4/6 = x/(15 − x) ⇒ 4(15 − x) = 6x ⇒ 60 − 4x = 6x ⇒ 60 = 10x ⇒ x = 6 cm.
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FAQ

Is this Class 10 Maths worksheet on Triangles free?
Yes — it is completely free, with no login and no ads. You can print it or save it as a PDF, and generate unlimited variations.
Does the Triangles worksheet come with answers?
Yes. Every worksheet has a separate answer key with the correct answers, short explanations and marks, so it is ready for marking.
Can I choose how many questions and which types?
Yes. Open the generator for this chapter and set how many MCQs, short, long and HOTS questions you want; totals and marks update live, and you can swap any single question.
Which board and class is this for?
This worksheet is aligned to CBSE Class 10 Maths, chapter “Triangles”.