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Question (21)

QN0019752

A rectangular park measures 24 m by 7 m. The diagonal is:

(A) 25 m
(B) 26 m
(C) 27 m
(D) 28 m

Correct Answer: A

Explanation:

Using Pythagoras theorem, diagonal = √(24² + 7²) = √(576 + 49) = √625 = 25 m

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Question (22)

QN0019753

A right triangle has hypotenuse 10 cm and one side 6 cm. The other side is:

(A) 6 cm
(B) 7 cm
(C) 8 cm
(D) 9 cm

Correct Answer: C

Explanation:

Other side = √(10² − 6²) = √(100 − 36) = √64 = 8 cm

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Question (23)

QN0019754

Which of the following is a Pythagorean triple?

(A) (4, 6, 8)
(B) (9, 12, 15)
(C) (5, 6, 8)
(D) (7, 8, 9)

Correct Answer: B

Explanation:

9² + 12² = 81 + 144 = 225 = 15², so it forms a Pythagorean triple

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Question (24)

QN0019755

The diagonal of a square of side 9 cm is:

(A) 9 cm
(B) (9√2) cm
(C) 18 cm
(D) 81 cm

Correct Answer: B

Explanation:

Diagonal of square = side × √2 = 9√2 cm

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Question (25)

QN0019756

A pole 12 m high casts a shadow 5 m long. The distance from the top of the pole to the tip of the shadow is:

(A) 11 m
(B) 12 m
(C) 13 m
(D) 14 m

Correct Answer: C

Explanation:

Distance = √(12² + 5²) = √(144 + 25) = √169 = 13 m

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Question (26)

QN0019757

Which set of lengths satisfies the theorem?

(A) 10, 24, 26
(B) 6, 7, 9
(C) 5, 7, 8
(D) 9, 10, 15

Correct Answer: A

Explanation:

10² + 24² = 100 + 576 = 676 = 26², so it satisfies Pythagoras theorem

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Question (27)

QN0019758

The diagonal of a rectangle of sides 5 cm and 12 cm is:

(A) 11 cm
(B) 12 cm
(C) 13 cm
(D) 14 cm

Correct Answer: C

Explanation:

Diagonal = √(5² + 12²) = √(25 + 144) = √169 = 13 cm

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Question (28)

QN0019759

A square with diagonal (14√2) cm has side:

(A) 7 cm
(B) 10 cm
(C) 14 cm
(D) 28 cm

Correct Answer: C

Explanation:

Side = diagonal/√2 = (14√2)/√2 = 14 cm

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Question (29)

QN0019760

Which side of a right triangle is opposite the right angle?

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

Correct Answer: C

Explanation:

The side opposite the right angle is the hypotenuse

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Question (30)

QN0019761

A rectangle has diagonal 41 cm and one side 9 cm. The other side is:

(A) 30 cm
(B) 35 cm
(C) 40 cm
(D) 45 cm

Correct Answer: C

Explanation:

Other side = √(41² − 9²) = √(1681 − 81) = √1600 = 40 cm

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Question (21)

A rectangular park measures 24 m by 7 m. The diagonal is:

Explanation:

Link:

Question (22)

A right triangle has hypotenuse 10 cm and one side 6 cm. The other side is:

Explanation:

Link:

Question (23)

Which of the following is a Pythagorean triple?

Explanation:

Link:

Question (24)

The diagonal of a square of side 9 cm is:

Explanation:

Link:

Question (25)

A pole 12 m high casts a shadow 5 m long. The distance from the top of the pole to the tip of the shadow is:

Explanation:

Link:

Question (26)

Which set of lengths satisfies the theorem?

Explanation:

Link:

Question (27)

The diagonal of a rectangle of sides 5 cm and 12 cm is:

Explanation:

Link:

Question (28)

A square with diagonal (14√2) cm has side:

Explanation:

Link:

Question (29)

Which side of a right triangle is opposite the right angle?

Explanation:

Link:

Question (30)

A rectangle has diagonal 41 cm and one side 9 cm. The other side is:

Explanation:

Link:

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