Download presentation

1
**Chapter 7.4 Notes: Special Right Triangles**

Goal: You will use the relationships among the sides in special right triangles.

2
Part I: Draw an isosceles right triangle. What do you know about the two legs? What do you know about the measures of the acute angles of an isosceles right triangle? Another name for an isosceles right triangle is a 45o-45o-90o triangle.

3
**45o-45o-90o Triangle Theorem:**

In a 45o-45o-90o triangle, the hypotenuse is times as long as each leg. hypotenuse = ________________ Find the length of the hypotenuse. Ex.1: Ex.2:

4
**Find the lengths of the legs in the triangle.**

Ex.3: Ex.4: 2 Part II: Draw an equilateral triangle with side length of 6 cm What do you know about an equilateral triangle? 1. ________________________________ 2. ________________________________

5
When you divide an equilateral triangle in half, the two triangles formed are called a 30o-60o-90o triangle. 30o-60o-90o Triangle Theorem: In a 30o-60o-90o triangle, the hypotenuse is twice as long as the shorter leg, and the longer leg is times as long as the shorter leg. hypotenuse = _______________ longer leg = ________________

6
**Find the value of the variable. Ex.6: Ex.7:**

Ex.5: Find the values of x and y. Write your answer in simplest radical form. Find the value of the variable. Ex.6: Ex.7: 60o y 30o x

7
**Ex. 8: The shorter leg of a 30-60-90 triangle has a length of**

Ex.8: The shorter leg of a triangle has a length of . What are the lengths of the other two sides? Ex.9: A baseball diamond is a square. The distance from base to base is 90 feet. How far does the second baseman throw a ball to home plate?

8
**Find the value of the variable. Ex.10: Ex.11:**

15

Similar presentations

© 2021 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google