Solving sides of special right triangles

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Presentation transcript:

Solving sides of special right triangles 30°-60°-90°

30°- 60°- 90° The 30-60-90 triangle is based on an equilateral triangle. The altitude cuts the triangle into two congruent triangles. 2 60° 30° 30° 1 1

30-60-90 Triangle Theorem In a 30°-60°-90° triangle, the length of the hypotenuse is 2 times the length of the shorter leg, x, and the length of the longer leg is times the length of the shorter leg.

8 4 The key is to find the length of the short side. #1 30°- 60°- 90° Practice 60° 30° The key is to find the length of the short side. 8 4

#2 30°- 60°- 90° Practice 60° 30° 3

30°- 60°- 90° Practice Now Let's Go Backward

#3 30°- 60°- 90° Practice 60° 30° 22 11

#4 30°- 60°- 90° Practice 60° 30°

#5 30°- 60°- 90° Practice 60° 30° 46 23

#6 30°- 60°- 90° Practice 60° 30° 9

#7 30°- 60°- 90° Practice 60° 30°