Question

Triangle ABC is an isosceles and right triangle whose hypotenuse measures 8 inches. Find the length of the other legs.

Answer 1

Answer: both legs have length of 4√2

Explanation:

An isosceles right triangle is a 45°-45°-90° that has corresponding side lengths of "a - a - a√2"

Since the 90° (hypotenuse) has a length of 8, then we can divide by √2 to find the lengths of the legs.

`a√(2) =8\\\\(a\sqrt2)/(\sqrt2)=(8)/(\sqrt2)\\\\\\a=(8)/(\sqrt2)\bigg((\sqrt2)/(\sqrt2)\bigg)\\\\\\a = (8\sqrt2)/(2)\\\\a=4\sqrt2`