CBSE Class 8 Maths The Baudhayana-Pythagoras Theorem (Class 8 NCERT New) Quiz 3

1. For a right‑angled triangle with shorter sides of lengths 5 cm and 12 cm, what is the length of its hypotenuse?

A 12 cm B 13 cm C 14 cm D 17 cm

2. For a right‑angled triangle with one short side of length 8 cm and a hypotenuse of length 17 cm, what is the length of the other short side?

A 9 cm B 12 cm C 15 cm D 16 cm

3. Using the paper‑piece construction where the square on the hypotenuse has area equal to the sum of the areas on the legs, how would you construct a square whose area is triple the area of a given square of side ? Choose the legs so that the square on the hypotenuse has area .

A Use legs and B Use legs and C Use legs and D Use legs and

4. Using the same method, how would you construct a square whose area is five times the area of a given square of side ? Choose the legs so that the square on the hypotenuse has area .

A Use legs and B Use legs and C Use legs and D Use legs and

5. Let a, b, and c denote the side lengths of a right triangle, with c the hypotenuse. If and , what is to one decimal place?

A 7.8 B 8.4 C 8.6 D 9.0

6. Let a, b, and c denote the side lengths of a right triangle, with c the hypotenuse. If and , what is ?

A 10 B 11 C 12 D 13

7. Which list shows all the Baudhāyana triples whose numbers are less than or equal to 20?

A (3, 4, 5), (6, 8, 10), (9, 12, 15), (12, 16, 20) B (3, 4, 6), (6, 8, 10), (9, 12, 15), (15, 20, 25) C (2, 3, 4), (4, 6, 8), (6, 9, 12), (8, 12, 16) D (5, 12, 13), (8, 15, 17), (7, 24, 25), (15, 36, 39)

8. Is there an unending sequence of Baudhāyana triples?

A Yes, there are infinitely many B No, there are only finitely many

9. Is (30, 40, 50) a Baudhāyana triple?

A Yes B No

10. Is (300, 400, 500) a Baudhāyana triple?

A Yes B No