7.2 The Pythagorean Theorem and its Converse

1 / 8

# 7.2 The Pythagorean Theorem and its Converse - PowerPoint PPT Presentation

7.2 The Pythagorean Theorem and its Converse. What you’ll learn: To use the Pythagorean Theorem To use the converse of the Pythagorean Theorem. Theorem 7.4. The Pythagorean Theorem

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about ' 7.2 The Pythagorean Theorem and its Converse' - huong

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### 7.2 The Pythagorean Theorem and its Converse

What you’ll learn:

To use the Pythagorean Theorem

To use the converse of the Pythagorean Theorem

Theorem 7.4

The Pythagorean Theorem

In a right triangle, the sum of the squares of the measures of the legs equals the square of the measure of the hypotenuse.

a²+b²=c²

A

leg

hypotenuse

b

c

C

B

a

leg

Theorem 7.5

Converse of the Pythagorean Theorem

If the sum of the squares of the measures of 2 sides of a triangle equals the square of the measure of the longest side, then the triangle is a right triangle.

If a²+b²=c²

then ABC is a right .

A

c

b

C

B

a

Pythagorean Triples

Pythagorean Triple – 3 whole numbers that satisfy the equation a²+b²=c².

Some common Pythagorean triples are:

3,4,5 7,24,25 8,15,17 9,40,41

More triples can be created by multiplying the numbers by a constant.

3,4,5 6,8,10 15,20,25 30,40,50

7.8

Find x.

9

15.4

6

x

x

x

1.

2.

3.

17

A(2,7), B(3,6), C(-4,-1)

Determine whether each set of numbers can be the measure of the sides of a right triangle. Then state whether they form a Pythagorean Triple.

• 7, 28, 29