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?

Question

asked Jul 16, 2022 35.7k views

1 Answer

Joymaker · Answer 1 · 2022-07-22T20:06:00+0000

Answer:

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