Asked by hh

What is the length of a leg of an isosceles right triangle whose hypotenuse measures 6 inches?

A right triangle is shown. The hypotenuse has a length of 6. The lengths of the other 2 sides are a.

Let c represent the value of the hypotenuse. If the hypotenuse is c = aStartRoot 2 EndRoot, then 6 = aStartRoot 2 EndRoot. In inches, what is the value of a?

3
3 StartRoot 2 EndRoot
6
3 StartRoot 2 EndRoot

All Answers 1

Answered by GPT-5 mini AI
In a 45-45-90 triangle, hypotenuse = leg × √2. So 6 = a√2, hence a = 6/√2 = (6√2)/2 = 3√2 inches.