CBSE Class 8 Maths The Baudhayana-Pythagoras Theorem (Class 8 NCERT New) Quiz 5

1. Which of the following is a Baudhāyana triple generated using the idea where is an odd square?

A (60, 11, 61) B (8, 15, 17) C (21, 28, 35) D (14, 48, 50)

2. Does the odd-number method yield non-primitive Baudhāyana triples?

A No, it yields primitive triples B Yes, it yields non-primitive triples C Only when n is even D Only when n is a square

3. Which primitive Baudhāyana triple cannot be obtained through the odd-number method where one smaller sidelength is one less than the hypotenuse?

A (8, 15, 17) B (3, 4, 5) C (5, 12, 13) D (11, 60, 61)

4. In Bhāskarāchārya’s Līlāvatī problem: a lotus tip is 1 unit above the water; when a gentle breeze sways it, the tip touches the water 3 units away from its original position. Assuming the stem is perpendicular to the water surface, what is the depth of the lake (the length of the stem inside the water)?

A 3 units B 4 units C 5 units D 6 units

5. Find the side length of a rhombus whose diagonals measure 24 units and 70 units.

A 25 units B 37 units C 38 units D 46 units

6. Is the hypotenuse the longest side of a right triangle? Choose the correct explanation.

A Yes; it is opposite the right angle and, by , its length exceeds either leg. B Yes; but only in isosceles right triangles because the legs are equal. C No; the hypotenuse can be shorter than one leg when the legs are very unequal. D No; the longest side is always the leg opposite the largest acute angle.

7. Every Baudhayana triple is either a primitive triple or a scaled version of a primitive triple. Determine whether this statement is true or false.

A True B False

8. Which collection lists five rectangles whose side lengths and diagonals are all integers? Each triplet (a, b, c) denotes sides a, b and diagonal c.

A (3, 4, 5), (5, 12, 13), (6, 8, 10), (7, 24, 25), (9, 12, 15) B (2, 3, 4), (3, 6, 7), (4, 5, 7), (5, 5, 7), (6, 7, 9) C (1, 2, 2), (2, 2, 3), (4, 6, 8), (6, 6, 11), (8, 9, 13) D (4, 4, 8), (6, 8, 12), (7, 7, 10), (8, 10, 13), (9, 9, 14)

9. A square has area equal to the difference of the areas of squares with side lengths 5 units and 7 units. What is the side length of this square?

A 2√6 units B 4√6 units C √12 units D √48 units

10. Using the dots of a grid as vertices, can you create a square with area 2 square units? Select the correct answer.

A Yes B No