8-4

Special Right

Triangles

Special Right Triangles

• 45-45-90 Theorem– In a 45º - 45º - 90º

triangle, the hypotenuse is √2 times as long as each leg

x

xx√2

• Example– Find x

3

3

x

45º

Special Right Triangles

• Example– Find x

x

x

5

45º

Special Right Triangles

Special Right Triangles

• 30-60-90 Theorem– In a 30º - 60º - 90º

triangle, the hypotenuse is twice as long as the shorter leg, and the longer leg is √3 times as long as the shorter leg. 60º

30º

2x

x

x√3

• Example– Find s,t

s

5

t

60º

Special Right Triangles

•SPICSA

3021-20 all

Special Right Triangles