7 2 the pythagorean theorem and its converse
Download
1 / 8

7.2 The Pythagorean Theorem and its Converse - PowerPoint PPT Presentation


  • 111 Views
  • Uploaded on

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

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

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


An Image/Link below is provided (as is) to download presentation

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

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
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
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 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


Find x

7.8

Find x.

9

15.4

6

x

x

x

1.

2.

3.

17


Determine whether abc is a right triangle for the given vertices
Determine whether ABC is a right triangle for the given vertices.

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


7 2 the pythagorean theorem and its converse

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


Homework p 354 12 34 even quiz tomorrow on 7 1 7 2
Homework the sides of a right triangle. Then state whether they form a Pythagorean Triple.p. 35412-34 evenQuiz tomorrow on 7.1-7.2