Two Special Right Triangles 45°- 45°- 90° 30°- 60°- 90°

https://www.youtube.com/watch?v=D4DMvjTRXeI

Hypotenuse Leg Leg 45°- 45°- 90° A 45°- 45°- 90° triangle has two legs and a hypotenuse. 45° Hypotenuse Leg Leg

Hypotenuse 45°- 45°- 90° The hypotenuse is opposite the right angle.

Hypotenuse Leg a Leg a 45°- 45°- 90° The legs are equal because they are opposite equal angles. 45° Hypotenuse a Leg Leg a

Hypotenuse a2 Leg a Leg a 45°- 45°- 90° The hypotenuse is 2 of a leg

45°- 45°- 90° COPY THIS INTO YOUR NOTEBOOK! 45° a a2 a

45°- 45°- 90° Practice Let's Try Some Problems

45°- 45°- 90° Practice 4 45° 4 2 4 SAME leg*2

45°- 45°- 90° Practice 9 45° 9 2 9 SAME leg*2

45°- 45°- 90° Practice 2 45° 2 2 2 SAME leg*2

45°- 45°- 90° Practice Now Let's Go Backward

45°- 45°- 90° Practice 45° 3 2 hypotenuse2

45°- 45°- 90° Practice 45° 3 2 3 3 SAME hypotenuse2

45°- 45°- 90° Practice 45° 6 2 hypotenuse2

45°- 45°- 90° Practice 45° 6 2 6 6 SAME hypotenuse2

45°- 45°- 90° Practice 45° 11 2 hypotenuse2

45°- 45°- 90° Practice 45° 112 11 11 SAME hypotenuse2

30°- 60°- 90° Triangles SOMETHING DIFFERENT

The 30-60-90 triangle has a hypotenuse, a short leg, and a long leg. 30°- 60°- 90° The 30-60-90 triangle has a hypotenuse, a short leg, and a long leg. 30° 60° Long Leg hypotenuse Short Leg

The hypotenuse is opposite the right angle. 30°- 60°- 90° The hypotenuse is opposite the right angle. 30° 60° hypotenuse

The long side is opposite the 60 degree angle. Long Leg 30°- 60°- 90° The long side is opposite the 60 degree angle. 30° 60° Long Leg hypotenuse

The short leg is opposite the 30 degree angle. Long Leg 30°- 60°- 90° The short leg is opposite the 30 degree angle. 30° 60° Long Leg hypotenuse Short Leg

2a a 30°- 60°- 90° Practice The hypotenuse is twice the short leg. 30°

2a a a3 30°- 60°- 90° Practice The long leg is 3 of the short leg

COPY THIS INTO YOUR NOTEBOOK! 2a 30°- 60°- 90° 60° 30° COPY THIS INTO YOUR NOTEBOOK! 2a a3 a

30°- 60°- 90° Practice 60° 30° The key is to find the length of the short side. 8 43 Hypotenuse = short leg * 2 4 Long Leg = short leg * 3

10 53 5 30°- 60°- 90° Practice Hypotenuse = short leg * 2 Long Leg = short leg * 3

14 73 7 30°- 60°- 90° Practice Hypotenuse = short leg * 2 Long Leg = short leg * 3

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

22 113 11 30°- 60°- 90° Practice Short Leg = Hypotenuse  2 Long Leg = short leg * 3

4 23 2 30°- 60°- 90° Practice Short Leg = Hypotenuse  2 Long Leg = short leg * 3

18 93 9 30°- 60°- 90° Practice Short Leg = Hypotenuse  2 Long Leg = short leg * 3

30 153 15 30°- 60°- 90° Practice Short Leg = Hypotenuse  2 Long Leg = short leg * 3

46 233 23 30°- 60°- 90° Practice Hypotenuse = Short Leg * 2 Short Leg = Long leg   3

28 143 14 30°- 60°- 90° Practice Hypotenuse = Short Leg * 2 Short Leg = Long leg   3

32 163 16 30°- 60°- 90° Practice Hypotenuse = Short Leg * 2 Short Leg = Long leg   3

YOUR WORK Answer the following questions from your textbook. They will be collected and graded! Pg 485 #3-5 Pg 486 #7-12