Question

A right triangle has a hypotenuse of length 15 and a leg of length 9 what is the length of the other leg of the triangle be sure to draw a picture and show all your work

Answer 1

First, we need to draw the right triangle and the given measures:

We need to find the missing leg using the Pythagorean Theorem:

$h^2=l^2+x^2$

Where h represents the hypotenuse.

l represents the given side and x represents the missing side length.

Solve for x:

$x=\sqrt{h^2-l^2}$

eplacoig:

$x=\sqrt{15^2-9^2}$

Hence, te misising side length is 12.

$x=12$