Question

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

Answer 1

Answer:

C.  6√2.

Step-by-step 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.

Answer 2

Answer:

The correct option is C) 6√2.

Step-by-step 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 $a^2+b^2=c^2$.

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

$36 + 36=(c)^2$

$72=(c)^2$

$6\sqrt{2}=c$

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

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