Transcript Special Right Triangles

Special Right Triangles
Chapter 7.4
Special Right Triangles
• 45-45-90 triangles
• 30-60-90 triangles
45°- 45°- 90° Triangles
• Theorem 7.8
• In a 45°- 45°- 90° triangle, the 2 legs have the
same length and the hypotenuse is 2  leg
Find the Hypotenuse
Find the Hypotenuse
Find the legs
Find x
Find a, b, and c
8
7
15
6
9 2
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 3  smaller leg
Finding the sides of a 30°- 60°- 90°
Triangle
8
1. Identify what sides of the
triangle are known (the
hypotenuse, smaller leg or the
larger leg).
2. Hypotenuse = 2(smaller leg)
3. Larger leg = 3 (smaller leg)
Find x and y
12
Find x and y
8 3
y
x
Find d, e, and f
2
15
3
10
22 3
Find x and y
4 3
Find x and y
11
°
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