90 RIGHT TRIANGLES■ IN A RIGHT TRIANGLE, THE SIDE OPPOSITE THE R...

45-45-90 Right Triangles

■

In a right triangle, the side opposite the rightangle is called the hypotenuse. This will be thelongest side of the right triangle.

45°

use

Right

Hypoten

A right triangle with two angles each measuring 45degrees is called an isosceles right triangle.In an isoscelesright triangle:Pythagorean Theorem

■

The length of the hypotenuse is 2multiplied byThe Pythagorean theoremis an important tool for work-the length of one of the legs of the triangle.ing with right triangles. It states:a

²

+ b

²

= c

²

, where aand

■

The length of each leg is

2

2

multiplied by thebrepresent the legs and crepresents the hypotenuse.length of the hypotenuse.This theorem allows you to find the length of any sideas along as you know the measure of the other two.x

10

c

2

y

2

1

2

x= y= ×

¹

₁

⁰

= 10 = 52a

²

+ b

²

= c

²

1

²

+ 2

²

= c

²