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Question (11)

QN0019742

A right triangle has hypotenuse 25 cm and one side 24 cm. The other side is:

(A) 5 cm
(B) 7 cm
(C) 9 cm
(D) 11 cm

Correct Answer: B

Explanation:

Other side² = 25² − 24² = 49, so the side is 7 cm.

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Question (12)

QN0019743

The diagonal of a rectangle of length 8 cm and breadth 15 cm is:

(A) 16 cm
(B) 17 cm
(C) 18 cm
(D) 19 cm

Correct Answer: B

Explanation:

Diagonal² = 8² + 15² = 289, so diagonal = 17 cm.

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Question (13)

QN0019744

A square of side 1 unit has diagonal:

(A) 1
(B) 2
(C) √2
(D) √3

Correct Answer: C

Explanation:

Diagonal = 1 × √2 = √2.

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Question (14)

QN0019745

Which set of lengths cannot form a right triangle?

(A) 5, 12, 13
(B) 8, 15, 17
(C) 7, 24, 25
(D) 6, 7, 8

Correct Answer: D

Explanation:

6² + 7² = 85, which is not equal to 8² = 64.

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Question (15)

QN0019746

A ladder is placed 8 m from a wall and reaches a height of 15 m. The ladder’s length is:

(A) 16 m
(B) 17 m
(C) 18 m
(D) 19 m

Correct Answer: B

Explanation:

Length² = 8² + 15² = 289, so length = 17 m.

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Question (16)

QN0019747

The diagonal of a square divides it into:

(A) Two congruent right triangles
(B) Two rectangles
(C) Four squares
(D) Three triangles

Correct Answer: A

Explanation:

A diagonal divides a square into two congruent right triangles.

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Question (17)

QN0019748

A right triangle has sides 20 cm and 21 cm. Its hypotenuse is:

(A) 27 cm
(B) 28 cm
(C) 29 cm
(D) 30 cm

Correct Answer: C

Explanation:

20² + 21² = 841 = 29².

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Question (18)

QN0019749

Which theorem helps determine the shortest distance between opposite corners of a rectangle?

(A) Midpoint Theorem
(B) Baudhāyana–Pythagoras Theorem
(C) Intercept Theorem
(D) Angle Sum Theorem

Correct Answer: B

Explanation:

The diagonal of a rectangle is found using the theorem.

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Question (19)

QN0019750

A square has side 12 cm. Its diagonal is:

(A) 6√2 cm
(B) 12√2 cm
(C) 24 cm
(D) 144 cm

Correct Answer: B

Explanation:

Diagonal = 12√2 cm.

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Question (20)

QN0019751

If a² + b² = c², then the triangle with sides a, b, c is:

(A) Equilateral
(B) Isosceles
(C) Right-angled
(D) Scalene only

Correct Answer: C

Explanation:

The converse of the theorem identifies a right triangle.

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Question (11)

A right triangle has hypotenuse 25 cm and one side 24 cm. The other side is:

Explanation:

Link:

Question (12)

The diagonal of a rectangle of length 8 cm and breadth 15 cm is:

Explanation:

Link:

Question (13)

A square of side 1 unit has diagonal:

Explanation:

Link:

Question (14)

Which set of lengths cannot form a right triangle?

Explanation:

Link:

Question (15)

A ladder is placed 8 m from a wall and reaches a height of 15 m. The ladder’s length is:

Explanation:

Link:

Question (16)

The diagonal of a square divides it into:

Explanation:

Link:

Question (17)

A right triangle has sides 20 cm and 21 cm. Its hypotenuse is:

Explanation:

Link:

Question (18)

Which theorem helps determine the shortest distance between opposite corners of a rectangle?

Explanation:

Link:

Question (19)

A square has side 12 cm. Its diagonal is:

Explanation:

Link:

Question (20)

If a² + b² = c², then the triangle with sides a, b, c is:

Explanation:

Link:

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