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Question (1)

QN0019572

In a right triangle, the side opposite the right angle is called the:

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

Correct Answer: C

Explanation:

The side opposite the right angle is called the hypotenuse.

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Question (2)

QN0019573

An isosceles right triangle has two sides of length 1 unit each. What is the square of its hypotenuse?

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

Correct Answer: B

Explanation:

The square on the hypotenuse has double the area of the unit square.

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Question (3)

QN0019574

The hypotenuse of an isosceles right triangle with equal sides 1 unit is:

(A) 1
(B) 2
(C) √2
(D) √3

Correct Answer: C

Explanation:

For equal sides 1, the hypotenuse is √2.

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Question (4)

QN0019575

If the equal sides of an isosceles right triangle are each 3 units, the hypotenuse is:

(A) 3√2
(B) 6
(C) √6
(D) 9

Correct Answer: A

Explanation:

c = a√2 = 3√2.

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Question (5)

QN0019576

The relationship between the equal side a and hypotenuse c of an isosceles right triangle is:

(A) c = 2a
(B) c² = a²
(C) c² = 2a²
(D) c = a²

Correct Answer: C

Explanation:

In an isosceles right triangle, c² = 2a².

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Question (6)

QN0019577

If a = 5 units in an isosceles right triangle, then c² equals:

(A) 25
(B) 50
(C) 75
(D) 100

Correct Answer: B

Explanation:

c² = 2 × 5² = 50.

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Question (7)

QN0019578

A square of side 1 unit has area:

(A) 0.5 sq. unit
(B) 1 sq. unit
(C) 2 sq. units
(D) 4 sq. units

Correct Answer: B

Explanation:

Area = side² = 1² = 1 sq. unit.

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Question (8)

QN0019579

The square constructed on the diagonal of a unit square has area:

(A) 1 sq. unit
(B) 1.5 sq. units
(C) 2 sq. units
(D) 4 sq. units

Correct Answer: C

Explanation:

The diagonal square has double the area of the original square.

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Question (9)

QN0019580

If the equal sides of an isosceles right triangle are 4 units each, the hypotenuse is:

(A) 4√2
(B) 8
(C) 2√2
(D) 16

Correct Answer: A

Explanation:

c = 4√2.

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Question (10)

QN0019581

Which statement exactly defines the hypotenuse?

(A) The shortest side of a triangle
(B) The side opposite the right angle
(C) The side opposite the smallest angle
(D) The side joining midpoints

Correct Answer: B

Explanation:

The hypotenuse is the side opposite the right angle.

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Question (1)

In a right triangle, the side opposite the right angle is called the:

Explanation:

Link:

Question (2)

An isosceles right triangle has two sides of length 1 unit each. What is the square of its hypotenuse?

Explanation:

Link:

Question (3)

The hypotenuse of an isosceles right triangle with equal sides 1 unit is:

Explanation:

Link:

Question (4)

If the equal sides of an isosceles right triangle are each 3 units, the hypotenuse is:

Explanation:

Link:

Question (5)

The relationship between the equal side a and hypotenuse c of an isosceles right triangle is:

Explanation:

Link:

Question (6)

If a = 5 units in an isosceles right triangle, then c² equals:

Explanation:

Link:

Question (7)

A square of side 1 unit has area:

Explanation:

Link:

Question (8)

The square constructed on the diagonal of a unit square has area:

Explanation:

Link:

Question (9)

If the equal sides of an isosceles right triangle are 4 units each, the hypotenuse is:

Explanation:

Link:

Question (10)

Which statement exactly defines the hypotenuse?

Explanation:

Link:

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