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

Presentation is loading. Please wait....

OK

Side Relationships in Special Right Triangles

Side Relationships in Special Right Triangles

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on fire extinguisher types electrical Ppt on area of parallelogram and triangles in geometry Maths ppt on circles class 10 Disaster management ppt on uttarakhand disaster Ppt on taj mahal palace mumbai Download ppt on life processes for class 10 cbse Ppt on teachings of buddha A ppt on robotics Ppt on hydraulic gear pump Ppt on swami vivekananda thoughts