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.

Fill in the Blanks

The Pythagorean Theorem can only be used on

triangles.

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