1. Special Right Triangles

2. Special Right Triangles 30°, 60°, and 90° - Special Rule 60° c a 30° b The hypotenuse is always twice aslong as the side opposite the 30° angle. C = 2a

3. Special Right Triangles Example: Step 1: Step 2: Step 3: Step 4: 6 in 60° b c 30°

4. Special Right Triangles • BUT, what if the side across from the 30° angle isn’t given? What if the side that is being looked for isn’t the hypotenuse?

5. Special Right Triangles • BUT, what if the side across from the 30° angle isn’t given? What if the side that is being looked for isn’t the hypotenuse?

6. Special Right Triangles A) When the hypotenuse is given, you can find the side opposite the 30° by solving for a. c = a 2 c = 2a is the same as Step 1: Step 2: Step 3: Step 4: 30° 10 ft 60°

7. Special Right Triangles B) When the hypotenuse is given, you can also find the side opposite the 60° by solving for a. 1.) Find the side opposite of the 30° angle. 2.) Use Pythagorean Theorem to solve using the given angle and the found angle in step 1. Step 1: Step 2: Step 3: Step 4: Step 1: Step 2: Step 3: Step 4: 30° 10 ft 60°

8. Special Right Triangles 45°, 45°, and 90° - Special Rule 45° c a 45° b Because this type of triangle is also an isosceles triangle, the legs are always congruent. Use pythagorean theorem where the legs are the same measure.

9. Special Right Triangle Example: 6m Step 1: Step 2: Step 3: Step 4: 45° b c 45°

10. Special Right Triangles YOUR TURN:Go to page 268 of your textbook and complete the “Your Turn” problems.

11. Special Right Triangles HOMEWORK: pg. 269, #4-16 (even)