# One leg of a right triangle is 8 millimeters shorter than the longer leg and the hypotenuse is 8 millimeters longer than the longer leg. How do you find the lengths of the triangle?

##### 1 Answer

Jun 29, 2016

24 mm, 32 mm, and 40 mm

#### Explanation:

Call x the short leg

Call y the long leg

Call h the hypotenuse

We get these equations

x = y - 8

h = y + 8.

Apply the Pythagor theorem:

Develop:

y(y - 32) = 0 -->

y = 32 mm

x = 32 - 8 = 24 mm

h = 32 + 8 = 40 mm

Check: (40)^2 = (24)^2 + (32)^2. OK.