1 / 9

EXAMPLE 1

o. o. o. Find hypotenuse length in a 45-45-90 triangle. a. a. By the Triangle Sum Theorem, the measure of the third angle must be 45 . Then the triangle is a 45-45-90 triangle, so by Theorem 7.8 , the hypotenuse is 2 times as long as each leg. o. o. o. o. o. o. o.

marinel
Download Presentation

EXAMPLE 1

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. o o o Find hypotenuse length in a 45-45-90triangle a. a. By the Triangle Sum Theorem, the measure of the third angle must be 45. Then the triangle is a 45-45-90 triangle, so by Theorem 7.8, the hypotenuse is 2 times as long as each leg. o o o o o o o hypotenuse = leg 2 45-45-90 Triangle Theorem = 8 2 EXAMPLE 1 Find the length of the hypotenuse. SOLUTION Substitute.

  2. o o o Find hypotenuse length in a 45-45-90triangle b. o o o hypotenuse = leg 2 45-45-90 Triangle Theorem By the Base Angles Theorem and the Corollary to the Triangle Sum Theorem, the triangle is a triangle. b. = 3 2 2 = 3 2 o o o 45 - 45 - 90 EXAMPLE 1 Find the length of the hypotenuse. Substitute. Product of square roots = 6 Simplify.

  3. o o o Find leg lengths in a 45-45-90triangle By the Base Angles Theorem and the Corollary to the Triangle Sum Theorem, the triangle is a triangle. o o o hypotenuse = leg 2 45-45-90 Triangle Theorem = x 5 2 2 2 2 2 2 o o o 45 - 45 - 90 x 5 = Divide each side by 2 EXAMPLE 2 Find the lengths of the legs in the triangle. SOLUTION Substitute. 5 =x Simplify.

  4. By the Corollary to the Triangle Sum Theorem, the triangle is a triangle. o o o 45 - 45 - 90 EXAMPLE 3 Standardized Test Practice SOLUTION

  5. hypotenuse = leg WX = 25 The correct answer is B. 2 2 EXAMPLE 3 Standardized Test Practice o o o 45-45-90 Triangle Theorem Substitute.

  6. By the Base Angles Theorem and the Corollary to the Triangle Sum Theorem, the triangle is a triangle. o o o hypotenuse = leg 45-45-90 Triangle Theorem 2 x = 2 2 2 2 2 2 2 o o o 45 - 45 - 90 x 2 = Divide each side by 2 for Examples 1,2 and 3 GUIDED PRACTICE Find the value of the variable. 1. SOLUTION Substitute. 2 = x Simplify.

  7. By the Base Angles Theorem and the Corollary to the Triangle Sum Theorem, the triangle is a triangle. o o o hypotenuse = leg 45-45-90 Triangle Theorem 2 2 y = 2 o o o 45 - 45 - 90 for Examples 1,2 and 3 GUIDED PRACTICE Find the value of the variable. 2. SOLUTION Substitute. y = 2 Simplify.

  8. By the Base Angles Theorem and the Corollary to the Triangle Sum Theorem, the triangle is a triangle. o o o hypotenuse = leg 45-45-90 Triangle Theorem 2 2 d = 8 2 d = 8 o o o 45 - 45 - 90 for Examples 1,2 and 3 GUIDED PRACTICE Find the value of the variable. 3. SOLUTION Substitute. Simplify.

  9. By the Base Angles Theorem and the Corollary to the Triangle Sum Theorem, the triangle is a triangle. o o o hypotenuse = leg 45-45-90 Triangle Theorem 2 2 2 2 2 2 6 = leg 3 = leg o o o Divide each side by 2 45 - 45 - 90 3 = leg for Examples 1,2 and 3 GUIDED PRACTICE 4. Find the leg length of a 45°-45°-90° triangle with a hypotenuse length of 6. SOLUTION Substitute. Simplify.

More Related