Download presentation

Presentation is loading. Please wait.

1
**Special Right Triangles**

2
**45°-45°-90° Special Right Triangle**

In a triangle 45°-45°-90° , the hypotenuse is times as long as a leg. Example: 45° 45° cm Hypotenuse 5 cm Leg X X 45° 5 cm 45° Leg X Special Right Triangles

3
**30°-60°-90° Special Right Triangle**

In a 30°-60°-90° triangle, the hypotenuse is twice as long as the short leg, and the long leg is times as long as the shorter leg. 30° Hypotenuse 2a Long Leg a 60° a Short Leg Special Right Triangles

4
**30°-60°-90° Special Right Triangle**

In a triangle 30°-60°-90° , the hypotenuse is twice as long as the shorter leg, and the longer leg is times as long as the shorter leg. Example: Hypotenuse 30° 2X Longer Leg 30° 10 cm X cm 60° 60° X 5 cm Shorter Leg Special Right Triangles

5
**Example: Find the value of a and b.**

b = 14 cm 60° 7 cm 30° 2x b 30 ° 60° a = cm a x Step 1: Find the missing angle measure. 30° Step 2: Decide which special right triangle applies. 30°-60°-90° Step 3: Match the 30°-60°-90° pattern with the problem. Step 4: From the pattern, we know that x = 7 , b = 2x, and a = x . Step 5: Solve for a and b Special Right Triangles

6
**Example: Find the value of a and b.**

b = cm 45° 7 cm 45° x b x 45 ° 45° a = 7 cm a x Step 1: Find the missing angle measure. 45° Step 2: Decide which special right triangle applies. 45°-45°-90° Step 3: Match the 45°-45°-90° pattern with the problem. Step 4: From the pattern, we know that x = 7 , a = x, and b = x . Step 5: Solve for a and b Special Right Triangles

Similar presentations

© 2022 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