Question

If the hypotenyse of an isosceles triangle is 8 inches, is there enough information to find the length of the legs? If yes, find the length of the legs. Round to the nearest tenth if necessary.

Answer 1

Answer: 5..6 in.

Explanation:

Given

Hypotenuse of isosceles triangle is 8 inches

In isosceles triangle two sides are equal

Suppose the other side is x

Using Pythagoras we can write

`\Rightarrow x^2+x^2=8^2\\\Rightarrow 2x^2=64\\\Rightarrow x^2=32\\\Rightarrow x=4√(2)\approx 5.6\ in.`

Therefore, the lengths of the legs is 5.6 inches