Unit 4 Lesson 5: Pythagorean Theorem

Unit 4 Lesson 5: Pythagorean Theorem

Course Update

•As part of Unit 4 Lesson 5 you will be required to complete a Portfolio Assignment!

•We will go over this assignment in tomorrow’s LiveLesson

Objective

Following LiveLesson, students will be able to:

*Solve problems using the Pythagorean Theorem

What is a right triangle

• It is a triangle which has an angle that is 90 degrees. 

• The two sides that make up the right angle are called legs. 

• The side opposite the right angle is the hypotenuse.

Open Ended

Where do you see right triangles in the real-world?

The Pythagorean Theorem

• In a right triangle, if a and b are the measures of the legs and c is the hypotenuse, then
  
  

   $a^{2\ }+\ b^{2\ }=\ c^2$  

• Note:  The hypotenuse, c, is always the longest side.

Find the length of the hypotenuse if

a = 12 and b = 16.

 Find the length of the hypotenuse if

a = 5 and b = 7.

Multiple Choice

Find the length of the hypotenuse given a = 6 and b = 12

(Hint: Sketch a triangle)

• 180

• 324

• 13.42

• 18

Find the length of the leg, to the nearest hundredth, if

a = 4 and c = 10.

Find the length of the leg, to the nearest hundredth, if  c = 10 and b = 7.

Multiple Choice

Find the length of the missing side given a = 4 and c = 5

• 1

• 3

• 6.4

• 9