EXPLAIN 1 Applying Relationships in Special Right Triangles Read Explain 1 and complete Your Turn 1 4 adapted from Lesson 13 3 Show all your work Side length Relationships in a 45 45 90 Right Triangle The hypotenuse is 2 time as long as each leg for any sized right triangle with 45 45 90 interior angles 60 45 2x x 2 Side length Relationships in a 30 60 90 Right Triangle The hypotenuse is twice as long as the shorter leg and the longer leg is 3 times as long as the shorter leg for any sized right triangle with 30 60 90 interior angles 30 45 x 3 Example If the hypotenuse has a length of 3 2 ft then x 3 The height and width are 3 ft long Example If the hypotenuse has a length of 6 ft then x 3 The height is 3 3 ft and the width is 3 ft If the hypotenuse is 6 feet then by rule 2x 6 Divide 2 on both sides makes x 3