Question

Suppose you have an isosceles triangle with a 90° angleIf the congruent sides each measure 9 feet, what is the length of the side across from the right angle?

Answer 1

`9√(2)` feet

Explanation:

Consider the attached figure.

An isosceles triangle is a triangle in which two sides are equal.

`AB=BC=9` feet

According to Pythagoras theorem,

square of hypotenuse is equal to sum of squares of other two sides.

`AC^2=AB^2+BC^2\\AC^2=9^2+9^2\\AC^2=81+81\\AC^2=162\\AC=√(162)`

`AC=9√(2)` feet