Upcoming SlideShare
×

# Geom 9point2

• 1,022 views

More in: Technology , Education
• Comment goes here.
Are you sure you want to
Be the first to comment
Be the first to like this

Total Views
1,022
On Slideshare
0
From Embeds
0
Number of Embeds
0

Shares
22
0
Likes
0

No embeds

### Report content

No notes for slide

### Transcript

• 1. The Pythagorean Theorem - 9.2
• Objectives:
• Prove the Pythagorean Theorem
• Use Pythagorean to solve problems
• 2. Pythagorean Theorem
• In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
• c 2 = a 2 + b 2
a b c
• 3. Proving Pythagorean
• Look at page 535
• 4. Using Pythagorean
• A Pythagorean triple is a set of 3 positive integers a, b, and c that satisfy the equation c 2 = a 2 + b 2
• 3, 4, and 5 are an example.
• 5. Using Pythagorean
• If the legs are 5 and 12, what is the hypotenuse?
• 5*5 + 12*12 = 25 + 144 = 169
• √ 169 = 13
• 5, 12, and 13 are Pythagorean triples.
• 6. Find the length of the hypotenuse:
• x 2 = 5 2 + 12 2
• x = √25 + 144
• x = 13
x 5 12
• 7. Find the length of the leg:
• 14 2 = 7 2 + x 2
• 196 = 49 + x 2
• 147 = x 2
• x = 7√3
14 7 x
• 8. Find the area of a triangle:
• Find the height:
• 7 2 = 5 2 + h 2
• 49 = 25 + h 2
• 24 = h 2
• h = √24
7 m 7 m 10 m
• 9. Find the area of a triangle:
• Now find the Area: A = 1/2 b*h
• A = 1/2 * 10 * √24
• A = 24.5 m 2
7 m 7 m 10 m
• 10. Now do Example 4, p. 537
• 11.
• Pythagorean video
• 12. Homework
• Do worksheets.