Special Right Triangles Lesson 7-3: Special Right Triangles1

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 right triangle, then we can use them to set up a proportion to find missing side lengths in another right triangle. 45° 1 1 memorizethis!

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

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 right triangle, then we can use them to set up a proportion to find missing side lengths in another right triangle. memorizethis! 60° 30° Hypotenuse Long Leg Short Leg 60° 30° 2 1

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