Question

Find the hypotenuse of each isosceles right triangle when the legs are of the given measure

Given= 6 √2

Answer 1

A isosceles triangle has two sides which are the same. So, we know two of the sides of the triangle are 6 square root 2. (6 square root 2)^2 + ( 6 square root 2) ^2 = (h)^2 -> 72 + 72 = (h)^2 -> 144 = h^2 - > h = 12

Hope this helps! I had to write out square root because I don't have the symbol.

Answer 2

Hypotenuse of right angled isosceles triangle equals:

12

Explanation:

We are given the legs of a right angled triangle as:

6√2

We know by Pythagorean theorem that:

Hypotenuse²= Base²+Perpendicular²

Hypotenuse²= (6√2)²+(6√2)²

=36×2+36×2

= 72+72

=144

Hypotenuse²=12²

⇒ Hypotenuse=12

Hence, hypotenuse of right angled isosceles triangle equals:

12