1. Special Right Triangles Lesson 7-3: Special Right Triangles1

2. 45 ° -45 ° -90 ° Right Triangle Lesson 7-3: Special Right Triangles2 45° Hypotenuse Leg **NOTE: All 45 ° -45 ° -90 ° Right Triangles are SIMILAR by AA, so the sides of any two are proportional. If we can memorize the lengths of sides in one 45-45-90 right triangle, then we can use them to set up a proportion to find missing side lengths in another 45-45-90 right triangle. 45° 1 1 memorizethis!

3. 45 ° -45 ° -90 ° Right Triangle Example Lesson 7-3: Special Right Triangles3 45° y 4 x 1 1 Solve for x and y. We will use the memorized Δ to write a proportion for x and y. and …now, solve for x and y

4. 30 ° -60 ° -90 ° Right Triangle Lesson 7-3: Special Right Triangles4 **NOTE: All 30 ° -60 ° -90 ° Right Triangles are SIMILAR by AA, so the sides of any two are proportional. If we can memorize the lengths of sides in one 30-60-90 right triangle, then we can use them to set up a proportion to find missing side lengths in another 30-60-90 right triangle. memorizethis! 60° 30° Hypotenuse Long Leg Short Leg 60° 30° 2 1

5. 30 ° -60 ° -90 ° Right Triangle Example Lesson 7-3: Special Right Triangles5 Solve for x and y. We will use the memorized Δ to write a proportion for x and y. and …now, solve for x and y 60° 30° y 6 x 60° 30° 2 1