Baudhayana-Pythagoras Theorem Worksheet: MCQs, Assertion-Reason and Fill in the Blanks with Solutions

Published on November 9, 2026

Geometry

Solved worksheet on the Baudhayana-Pythagoras theorem covering multiple choice questions, Pythagorean triplets, assertion-reason and fill in the blanks. Each answer is verified by checking whether the sides satisfy a^2 + b^2 = c^2.

Question

Detail solution

Answer

A. Multiple Choice Questions

1. (B) Right angled triangle. The Baudhāyana-Pythagoras theorem holds only for right-angled triangles.

2. (D) Hypotenuse. In a right-angled triangle, the side opposite the right angle is the longest.

3. (B) 6, 8, 10. A Pythagorean triplet must satisfy

with

the largest number:

(A)
(B) ✓
©
(D)

4. (B) Pythagoras theorem. The Baudhāyana theorem is the ancient form of the Pythagoras theorem.

5. © Right. If

, the angle opposite side

is a right angle (converse of the Pythagoras theorem).

6. (B) Hypotenuse is opposite to the right angle. The hypotenuse is the longest side, not the shortest, and it exists only in right-angled triangles.

7. (B) Measuring heights and distances. The theorem is used in surveying, construction and navigation to find unknown lengths.

B. Assertion and Reason

Assertion: , so the sides 3, 4, 5 satisfy the theorem. True.
Reason: , while . , so the statement is false.

C. Fill in the Blanks

1. A Pythagorean triplet is a set of positive integers that satisfy the Pythagoras theorem.

2. The Baudhāyana theorem is an ancient Indian version of the Pythagoras theorem.

3. The Baudhāyana theorem is useful in surveying and engineering for measuring distances.

4. Check:

. So a triangle with sides 6 cm, 8 cm and 10 cm is a right-angled triangle.

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