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Question (1)

QN0019732

The Baudhāyana–Pythagoras Theorem is used to find the:

(A) Perimeter of a circle
(B) Area of a triangle
(C) Length of an unknown side in a right triangle
(D) Volume of a cube

Correct Answer: C

Explanation:

The theorem helps determine an unknown side of a right triangle.

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Question (2)

QN0019733

In a right triangle with sides 6 cm and 8 cm, the hypotenuse is:

(A) 10 cm
(B) 12 cm
(C) 14 cm
(D) 16 cm

Correct Answer: A

Explanation:

6² + 8² = 36 + 64 = 100, so the hypotenuse is 10 cm.

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Question (3)

QN0019734

Which formula represents the Baudhāyana–Pythagoras Theorem?

(A) a + b = c
(B) a² + b² = c²
(C) ab = c
(D) a² − b² = c²

Correct Answer: B

Explanation:

The theorem states that a² + b² = c².

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Question (4)

QN0019735

A ladder 13 m long reaches the top of a wall. If its foot is 5 m from the wall, the wall’s height is:

(A) 8 m
(B) 10 m
(C) 12 m
(D) 15 m

Correct Answer: C

Explanation:

Height² = 13² − 5² = 144, so height = 12 m.

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Question (5)

QN0019736

The diagonal of a square of side 7 cm is:

(A) 7 cm
(B) 7√2 cm
(C) 14 cm
(D) 49 cm

Correct Answer: B

Explanation:

Diagonal of a square = side × √2.

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Question (6)

QN0019737

Which of the following is a right triangle?

(A) Sides 3 cm, 4 cm, 5 cm
(B) Sides 4 cm, 5 cm, 6 cm
(C) Sides 2 cm, 3 cm, 4 cm
(D) Sides 5 cm, 5 cm, 5 cm

Correct Answer: A

Explanation:

3² + 4² = 5².

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Question (7)

QN0019738

A square has diagonal 10 cm. Its side is:

(A) 5√2 cm
(B) 5 cm
(C) 10√2 cm
(D) 20 cm

Correct Answer: A

Explanation:

Side = 10/√2 = 5√2 cm.

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Question (8)

QN0019739

A rectangular field is 9 m long and 12 m wide. Its diagonal is:

(A) 13 m
(B) 14 m
(C) 15 m
(D) 16 m

Correct Answer: C

Explanation:

Diagonal² = 9² + 12² = 225, so diagonal = 15 m.

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Question (9)

QN0019740

The longest side of a right triangle is called the:

(A) Base
(B) Altitude
(C) Hypotenuse
(D) Median

Correct Answer: C

Explanation:

The side opposite the right angle is the hypotenuse.

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Question (10)

QN0019741

Which statement exactly expresses the theorem?

(A) The square on the hypotenuse equals the sum of the squares on the other two sides.
(B) The hypotenuse equals the sum of the other sides.
(C) The square on the hypotenuse is double the square on one side.
(D) All sides of a triangle are equal.

Correct Answer: A

Explanation:

This is the exact statement of the theorem.

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Question (1)

The Baudhāyana–Pythagoras Theorem is used to find the:

Explanation:

Link:

Question (2)

In a right triangle with sides 6 cm and 8 cm, the hypotenuse is:

Explanation:

Link:

Question (3)

Which formula represents the Baudhāyana–Pythagoras Theorem?

Explanation:

Link:

Question (4)

A ladder 13 m long reaches the top of a wall. If its foot is 5 m from the wall, the wall’s height is:

Explanation:

Link:

Question (5)

The diagonal of a square of side 7 cm is:

Explanation:

Link:

Question (6)

Which of the following is a right triangle?

Explanation:

Link:

Question (7)

A square has diagonal 10 cm. Its side is:

Explanation:

Link:

Question (8)

A rectangular field is 9 m long and 12 m wide. Its diagonal is:

Explanation:

Link:

Question (9)

The longest side of a right triangle is called the:

Explanation:

Link:

Question (10)

Which statement exactly expresses the theorem?

Explanation:

Link:

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