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Question (31)

QN0019762

The diagonal of a square of side 15 cm equals:

(A) (15√2) cm
(B) 15 cm
(C) 30 cm
(D) (30√2) cm

Correct Answer: A

Explanation:

Diagonal = side × √2 = 15√2 cm

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Question (32)

QN0019763

Which real-life object commonly illustrates the theorem?

(A) Ladder against a wall
(B) Circular track
(C) Water bottle
(D) Sphere

Correct Answer: A

Explanation:

A ladder against a wall forms a right triangle, illustrating the theorem

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Question (33)

QN0019764

A right triangle has legs 11 cm and 60 cm. The hypotenuse is:

(A) 59 cm
(B) 60 cm
(C) 61 cm
(D) 62 cm

Correct Answer: C

Explanation:

Hypotenuse = √(11² + 60²) = √(121 + 3600) = √3721 = 61 cm

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Question (34)

QN0019765

A square has side 20 cm. The square of its diagonal is:

(A) 400 cm²
(B) 600 cm²
(C) 800 cm²
(D) 1600 cm²

Correct Answer: C

Explanation:

Diagonal = 20√2, so square of diagonal = (20√2)² = 800 cm²

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Question (35)

QN0019766

Which set of lengths forms a right triangle?

(A) 12, 16, 20
(B) 5, 7, 9
(C) 8, 10, 13
(D) 11, 12, 13

Correct Answer: A

Explanation:

12² + 16² = 144 + 256 = 400 = 20², so it forms a right triangle

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Question (36)

QN0019767

The theorem is useful in finding:

(A) Unknown sides in right triangles
(B) Volume of solids
(C) Circumference of circles
(D) Surface area of cubes

Correct Answer: A

Explanation:

It is used to find unknown sides in right-angled triangles

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Question (37)

QN0019768

A rectangular room is 15 m long and 8 m wide. The diagonal distance across the room is:

(A) 15 m
(B) 16 m
(C) 17 m
(D) 18 m

Correct Answer: C

Explanation:

Diagonal = √(15² + 8²) = √(225 + 64) = √289 = 17 m

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Question (38)

QN0019769

If a square has diagonal (5√2) cm, its side length is:

(A) 2.5 cm
(B) 5 cm
(C) 10 cm
(D) (5√2) cm

Correct Answer: B

Explanation:

Side = diagonal/√2 = (5√2)/√2 = 5 cm

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Question (39)

QN0019770

Which triangle satisfies (9² + 40² = 41²)?

(A) Acute triangle
(B) Right triangle
(C) Equilateral triangle
(D) Obtuse triangle

Correct Answer: B

Explanation:

Since 9² + 40² = 41², it is a right triangle

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Question (40)

QN0019771

The Baudhāyana–Pythagoras Theorem is primarily associated with:

(A) Right triangles
(B) Circles
(C) Polygons only
(D) Cylinders

Correct Answer: A

Explanation:

It applies to right-angled triangles only

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Question (31)

The diagonal of a square of side 15 cm equals:

Explanation:

Link:

Question (32)

Which real-life object commonly illustrates the theorem?

Explanation:

Link:

Question (33)

A right triangle has legs 11 cm and 60 cm. The hypotenuse is:

Explanation:

Link:

Question (34)

A square has side 20 cm. The square of its diagonal is:

Explanation:

Link:

Question (35)

Which set of lengths forms a right triangle?

Explanation:

Link:

Question (36)

The theorem is useful in finding:

Explanation:

Link:

Question (37)

A rectangular room is 15 m long and 8 m wide. The diagonal distance across the room is:

Explanation:

Link:

Question (38)

If a square has diagonal (5√2) cm, its side length is:

Explanation:

Link:

Question (39)

Which triangle satisfies (9² + 40² = 41²)?

Explanation:

Link:

Question (40)

The Baudhāyana–Pythagoras Theorem is primarily associated with:

Explanation:

Link:

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