1. Special Right Triangles
Objectives:
To use the properties of 45°-45°-90°
and 30°-60°-90° triangles.

2. Isosceles Right Triangle 45°-45°-90° Triangleb a 1 2 3 4 5 l

3. Example

4. x In a 45°-45°-90° triangle, the hypotenuse is times as long as a leg.

5. Example
Find the hypotenuse.
13 ft
13√2 ft

6. 30°-60°-90° Triangle c a b a =1 a = 2 a = 3 c b a = 4 a = 5 a= a a 30°

7. Example

8. In a 30°-60°-90° triangle, the hypotenuse is twice as long as the shorter leg, and the longer leg is as long as the shorter leg.
30°
60° x 2x

9. Example
Find the remaining sides.
30°
60° 12

10. Equilateral Triangle
30° c b
60° a
(a is the shortest leg)