Question

What is the length of the hypotenuse in the right triangle shown below?
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Answer 1

The correct option is C) 6√2.

Explanation:

Consider the provided triangle.

The provided triangle is a right angle triangle, in which two angles are 45° and one is 90°.

As both angles are equal there opposite side must be equal.

Thus, the leg of another side must be 6.

Now find the hypotenuse by using Pythagorean theorem:

`a^2+b^2=c^2`

Substitute a = 6 and b = 6 in
`a^2+b^2=c^2`.

`(6)^2+(6)^2=(c)^2`

`36 + 36=(c)^2`

`72=(c)^2`

`6√(2)=c`

Hence, the length of the hypotenuse in the right triangle is 6√2.

Therefore, the correct option is C) 6√2.

Answer 2

C. 6√2.

Explanation:

Since this is a right angled isosceles triangle bot legs are 6 units long

So h^2 = 6^2 + 6^2 = 72

h = √72 = 6√2.