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Class 8 The Baudhayana–Pythagoras Theorem worksheet
CBSE Mathematics. Right triangles, a² + b² = c², Pythagorean triples, checking for a right angle, ladders, diagonals and distances. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.
Sample questions
Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.
Section A · multiple choice
- 1.
A right-angled triangle has legs 36 cm and 15 cm. Its hypotenuse is:
- 40 cm
- 51 cm
- 21 cm
- 39 cm
Answer
(d) 39 cm
36² + 15² = 1521 = 39²
- 2.
A right-angled triangle has hypotenuse 65 cm and one leg 56 cm. The other leg is:
- 9 cm
- 121 cm
- 33 cm
- 34 cm
Answer
(c) 33 cm
65² − 56² = 1089 = 33²
- 3.
In a right-angled triangle, the square on the hypotenuse equals:
- twice the other sides
- the difference of the other two squares
- the product of the other two sides
- the sum of the squares on the other two sides
Answer
(d) the sum of the squares on the other two sides
Section B · short answer
- 4.
Find the hypotenuse of a right-angled triangle whose legs are 28 cm and 45 cm.
Answer
53 cm
√(784 + 2025) = √2809 = 53
- 5.
A right-angled triangle has hypotenuse 25 m and one leg 7 m. Find the other leg.
Answer
24 m
√(625 − 49) = √576 = 24
Section C · long answer
- 6.
Vikram leans a 29 m ladder against a wall so that it reaches 21 m up. How far from the wall is its foot? If the foot is moved closer so the ladder reaches higher, which length stays the same?
Answer
20 m; the ladder's length (29 m)
√(841 − 441) = 20
Fresh sheets for your child
In the app, every The Baudhayana–Pythagoras Theorem sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.
Coming soon for Android and iPhone.