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Question (21)

QN0019592

If the equal sides of an isosceles right triangle are 9 units, the hypotenuse is:

(A) 9√2
(B) 18
(C) √18
(D) 81

Correct Answer: A

Explanation:

c = a√2 = 9√2.

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Question (22)

QN0019593

The value of √2 is:

(A) A terminating decimal
(B) A non-terminating decimal
(C) An integer
(D) A whole number

Correct Answer: B

Explanation:

√2 has a non-terminating, non-repeating decimal representation.

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Question (23)

QN0019594

If the hypotenuse is √72, each equal side is:

(A) 4 units
(B) 5 units
(C) 6 units
(D) 7 units

Correct Answer: C

Explanation:

c² = 72 = 2a² ⇒ a² = 36 ⇒ a = 6.

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Question (24)

QN0019595

For an isosceles right triangle, if c = a√2, then a = 7 gives c =

(A) 7√2
(B) 14
(C) √14
(D) 49

Correct Answer: A

Explanation:

Substituting a = 7 gives c = 7√2.

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Question (25)

QN0019596

Which number is a lower bound of √2?

(A) 0
(B) 1
(C) 2
(D) 3

Correct Answer: B

Explanation:

Since 1 < √2 < 2, 1 is a lower bound.

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Question (26)

QN0019597

Which number is an upper bound of √2?

(A) 0
(B) 1
(C) 2
(D) 3

Correct Answer: C

Explanation:

Since 1 < √2 < 2, 2 is an upper bound.

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Question (27)

QN0019598

If a = 15, then the hypotenuse squared equals:

(A) 225
(B) 300
(C) 450
(D) 900

Correct Answer: C

Explanation:

c² = 2 × 15² = 2 × 225 = 450.

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Question (28)

QN0019599

A square of side 5 units has diagonal length:

(A) 5√2
(B) 10
(C) √5
(D) 25

Correct Answer: A

Explanation:

The diagonal of a square is side × √2.

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Question (29)

QN0019600

If c² = 162, then the equal sides are:

(A) 7 units
(B) 8 units
(C) 9 units
(D) 10 units

Correct Answer: C

Explanation:

2a² = 162 ⇒ a² = 81 ⇒ a = 9.

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Question (30)

QN0019601

The hypotenuse of an isosceles right triangle is always:

(A) Equal to a side
(B) Shorter than the equal sides
(C) Longer than the equal sides
(D) Zero

Correct Answer: C

Explanation:

The hypotenuse is the longest side of a right triangle.

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Question (21)

If the equal sides of an isosceles right triangle are 9 units, the hypotenuse is:

Explanation:

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Question (22)

The value of √2 is:

Explanation:

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Question (23)

If the hypotenuse is √72, each equal side is:

Explanation:

Link:

Question (24)

For an isosceles right triangle, if c = a√2, then a = 7 gives c =

Explanation:

Link:

Question (25)

Which number is a lower bound of √2?

Explanation:

Link:

Question (26)

Which number is an upper bound of √2?

Explanation:

Link:

Question (27)

If a = 15, then the hypotenuse squared equals:

Explanation:

Link:

Question (28)

A square of side 5 units has diagonal length:

Explanation:

Link:

Question (29)

If c² = 162, then the equal sides are:

Explanation:

Link:

Question (30)

The hypotenuse of an isosceles right triangle is always:

Explanation:

Link:

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