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Question (11)

QN0019582

An isosceles right triangle has equal sides of 6 units. The square of the hypotenuse is:

(A) 36
(B) 48
(C) 72
(D) 144

Correct Answer: C

Explanation:

c² = 2 × 6² = 72.

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Question (12)

QN0019583

If c² = 98, the equal sides of the isosceles right triangle are:

(A) 5 units
(B) 6 units
(C) 7 units
(D) 8 units

Correct Answer: C

Explanation:

2a² = 98 ⇒ a² = 49 ⇒ a = 7.

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Question (13)

QN0019584

The decimal value of √2 lies between:

(A) 1.2 and 1.3
(B) 1.3 and 1.4
(C) 1.4 and 1.5
(D) 1.5 and 1.6

Correct Answer: C

Explanation:

√2 ≈ 1.414.

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Question (14)

QN0019585

Which of the following is greater than √2?

(A) 1.3
(B) 1.4
(C) 1.414
(D) 1.5

Correct Answer: D

Explanation:

√2 ≈ 1.414, which is less than 1.5.

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Question (15)

QN0019586

If the equal sides of an isosceles right triangle are 8 units, then the hypotenuse is:

(A) 8√2
(B) 4√2
(C) 16
(D) √8

Correct Answer: A

Explanation:

c = a√2 = 8√2.

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Question (16)

QN0019587

A unit square is made of how many isosceles right triangles along its diagonal?

(A) 1
(B) 2
(C) 3
(D) 4

Correct Answer: B

Explanation:

A diagonal divides a square into two congruent isosceles right triangles.

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Question (17)

QN0019588

If a = 10 units, then c² equals:

(A) 100
(B) 150
(C) 200
(D) 400

Correct Answer: C

Explanation:

c² = 2 × 10² = 200.

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Question (18)

QN0019589

The number √2 is approximately equal to:

(A) 1.214
(B) 1.314
(C) 1.414
(D) 1.514

Correct Answer: C

Explanation:

√2 ≈ 1.41421356...

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Question (19)

QN0019590

The hypotenuse of an isosceles right triangle with equal sides 12 units lies between:

(A) 12 and 13
(B) 13 and 14
(C) 16 and 17
(D) 17 and 18

Correct Answer: C

Explanation:

c = √288, which lies between 16 and 17.

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Question (20)

QN0019591

Which equation correctly represents the area of a square with side c?

(A) c
(B) 2c
(C) c²
(D) c + 2

Correct Answer: C

Explanation:

Area of a square = side².

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Question (11)

An isosceles right triangle has equal sides of 6 units. The square of the hypotenuse is:

Explanation:

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Question (12)

If c² = 98, the equal sides of the isosceles right triangle are:

Explanation:

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Question (13)

The decimal value of √2 lies between:

Explanation:

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Question (14)

Which of the following is greater than √2?

Explanation:

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Question (15)

If the equal sides of an isosceles right triangle are 8 units, then the hypotenuse is:

Explanation:

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Question (16)

A unit square is made of how many isosceles right triangles along its diagonal?

Explanation:

Link:

Question (17)

If a = 10 units, then c² equals:

Explanation:

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Question (18)

The number √2 is approximately equal to:

Explanation:

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Question (19)

The hypotenuse of an isosceles right triangle with equal sides 12 units lies between:

Explanation:

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Question (20)

Which equation correctly represents the area of a square with side c?

Explanation:

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