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Question (31)

QN0019602

If a = 2, then the hypotenuse is:

(A) 2√2
(B) 4
(C) √2
(D) 8

Correct Answer: A

Explanation:

c = a√2 = 2√2.

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Question (32)

QN0019603

Which statement about √2 is true?

(A) It can be written as a fraction of counting numbers.
(B) It is a terminating decimal.
(C) It cannot be expressed as a fraction of counting numbers.
(D) It is an integer.

Correct Answer: C

Explanation:

√2 is irrational and cannot be expressed as a fraction of counting numbers.

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Question (33)

QN0019604

If an isosceles right triangle has equal sides of 11 units, then c² equals:

(A) 121
(B) 222
(C) 242
(D) 484

Correct Answer: C

Explanation:

c² = 2 × 11² = 2 × 121 = 242.

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Question (34)

QN0019605

The hypotenuse of a unit isosceles right triangle is numerically equal to:

(A) 1
(B) 2
(C) √2
(D) √3

Correct Answer: C

Explanation:

For equal sides 1 unit, the hypotenuse is √2.

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Question (35)

QN0019606

If c² = 32, the equal sides measure:

(A) 2 units
(B) 4 units
(C) 8 units
(D) 16 units

Correct Answer: B

Explanation:

2a² = 32 ⇒ a² = 16 ⇒ a = 4.

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Question (36)

QN0019607

Which of the following is closest to √2?

(A) 1.214
(B) 1.414
(C) 1.614
(D) 1.814

Correct Answer: B

Explanation:

√2 ≈ 1.41421356.

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Question (37)

QN0019608

An isosceles right triangle has equal sides of 13 units. The hypotenuse lies between:

(A) 15 and 16
(B) 18 and 19
(C) 19 and 20
(D) 20 and 21

Correct Answer: B

Explanation:

c = √338, and 18² = 324 < 338 < 361 = 19².

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Question (38)

QN0019609

If the hypotenuse of an isosceles right triangle is 14√2, then each equal side is:

(A) 7
(B) 14
(C) 21
(D) 28

Correct Answer: B

Explanation:

Since c = a√2, a = (14√2)/√2 = 14.

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Question (39)

QN0019610

Which value satisfies c² = 2a² when a = 1?

(A) c = 1
(B) c = √2
(C) c = 2
(D) c = 3

Correct Answer: B

Explanation:

c² = 2 × 1² = 2, so c = √2.

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Question (40)

QN0019611

The diagonal of a square of side a has length:

(A) a
(B) 2a
(C) a√2
(D) a²

Correct Answer: C

Explanation:

The diagonal of a square equals side × √2.

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Question (31)

If a = 2, then the hypotenuse is:

Explanation:

Link:

Question (32)

Which statement about √2 is true?

Explanation:

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Question (33)

If an isosceles right triangle has equal sides of 11 units, then c² equals:

Explanation:

Link:

Question (34)

The hypotenuse of a unit isosceles right triangle is numerically equal to:

Explanation:

Link:

Question (35)

If c² = 32, the equal sides measure:

Explanation:

Link:

Question (36)

Which of the following is closest to √2?

Explanation:

Link:

Question (37)

An isosceles right triangle has equal sides of 13 units. The hypotenuse lies between:

Explanation:

Link:

Question (38)

If the hypotenuse of an isosceles right triangle is 14√2, then each equal side is:

Explanation:

Link:

Question (39)

Which value satisfies c² = 2a² when a = 1?

Explanation:

Link:

Question (40)

The diagonal of a square of side a has length:

Explanation:

Link:

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