Special Right Triangles

1
Special Right Triangles

• 14-6 Notes

2
45-45-90 Right Triangle
xv2
x
x
3
Example 1

• Find the length of the sides of a square with a
  diagonal of 8v2.

4
Example 2

• Find the length of the diagonal of the 45-45-90
  right triangle.

45
v5
45
5
Example 3

• Find the length of the leg of the 45-45-90 right
  triangle below

45
10
45
6
Example 3 Solution

• 1. 10 / v2
• 2. 10 v 2
• v 2 v 2
• 3. 10 v2 5 v 2
• 2

7
30-60-90 Right Triangle
2x
60
x
30
xv3
8
Example 4

• Find the short leg and long leg.

18
9
Example 5
30
60
6
10
Example 6
60
30
12
11
Summary

• To find the Hyp of a 45-45-90 right triangle,
  multiply the leg by ____.
• To find the short leg of a 30-60-90 right
  triangle, divide the hyp by _.
• To find the long leg of a 30-60-90 right
  triangle, multiply the short leg by _____.