Special Right Triangles

1
Special Right Triangles

• Chapter 7.4

2
Special Right Triangles

• 45-45-90 triangles
• 30-60-90 triangles

3
45- 45- 90 Triangles

• Theorem 7.8
• In a 45- 45- 90 triangle, the 2 legs have the
  same length and the hypotenuse is

4
Find the Hypotenuse
5
Find the Hypotenuse
6
Find the legs
7
Find x
45
10
x
x
8
Find a, b, and c
8
15
6
9
30- 60- 90 Triangles

• Theorem 7.9
• In a 30- 60- 90 Triangle the hypotenuse is
  twice the length of the smallest leg, while the
  longer leg is

10
Finding the sides of a 30- 60- 90 Triangle
1. Identify what sides of the triangle are known
(the hypotenuse, smaller leg or the larger leg).
8
2. Hypotenuse 2(smaller leg)
3. Larger leg (smaller leg)
11
Find x and y
12
12
Find x and y
13
Find d, e, and f
14
Find x and y
15
Find x and y

16
Page 461 3 - 21