1. Solving Right Triangles

2. Essential Question – What does it mean to solve a right triangle?

3. Solving a right triangle To solve a right triangle: – find the measure of all its missing parts (should be 3 sides and 3 angles).

4. Solving a Right Triangle Label sides Use SOHCAHTOA Solve for missing side(s) Solve for missing angle(s) You might need to do several problems in one to finish!

5. Example Solve the Δ A B C __ 7 24 25 m  A=sin -1.96m  A=74 o m  B=90-74=16 o

6. Ex:solve the Δ (round to the nearest tenth) __ A B C 8 10 8 2 +10 2 =c 2 64+100=c 2 164=c 2 12.8=c m  A= tan -1 1.25 m  A=51.3 o m  B=180-90-51.3=38.7 o

7. Example S RT __ r s 15 20 o r=5.1 m  S=180-90-20 m  S=70 o

8. Example solve the triangle 15.7mi 59mi x __