Presentation is loading. Please wait.

Presentation is loading. Please wait.

Objective- To solve problems involving the Pythagorean Theorem.

Similar presentations


Presentation on theme: "Objective- To solve problems involving the Pythagorean Theorem."— Presentation transcript:

1 Objective- To solve problems involving the Pythagorean Theorem.
For Right Triangles Only! hypotenuse - always opposite the right angle leg leg

2 Objective- To solve problems involving the Pythagorean Theorem.
For Right Triangles Only! hypotenuse c leg a b leg

3 Objective- To solve problems involving the Pythagorean Theorem.
For Right Triangles Only! hypotenuse c a b Note: The order of the two legs doesn’t matter! b a

4 Objective- To solve problems involving the Pythagorean Theorem.
For Right Triangles Only! Pythagorean Theorem c a b

5 Solve for x. x 6 8 x = 10

6 Solve for y. 7 4 y

7 Solve for t. 6 t 15

8 Pythagorean Triples

9 Pythagorean Triples 12 9 15

10 To the nearest tenth of a foot, find the length
of the diagonal of a rectangle with a width of 4 feet and a length of 10 feet. x 4 ft. 10 ft.

11 A car drives 20 miles due east and then 45 miles
due south. To the nearest hundredth of a mile, how far is the car from its starting point? 20 miles x 45 miles

12 Informal Proof #1 Inscribe a square within the square.

13 Informal Proof #1 a b c a b c c b c a b a

14 Informal Proof #1 a b c a b c a b c c b c a b a

15 Informal Proof #1 a b c b c a c b c a b a

16 Informal Proof #1 a b c b c b c a a c b c a b a

17 Informal Proof #1 a b c b c b c a a c a b

18 Informal Proof #1 a b c b c b c a a b c a c a b

19 Informal Proof #1 a b c c b a b c a c a b

20 Informal Proof #1 a b c c b a b c a c a c a b b

21 Informal Proof #1 a b c c b a b c a c a b

22 Informal Proof #1 a b c c b a b c a c a b

23 Informal Proof #1 a b c a c b b c a b c a c a b

24 Informal Proof #1 a c b b c c a b b a c a c a b

25 Informal Proof #1 a b c c b b a c a c a a c b b

26 Informal Proof #1 a b c c b b a b c a c a a c b

27 Informal Proof #1 a b c c b a b c a a c b

28 Informal Proof #2 - - a + b a b c a b c c b c a b a = =
Total Purple Yellow Area Area Area - = a b - c a = b c c b c a b a


Download ppt "Objective- To solve problems involving the Pythagorean Theorem."

Similar presentations


Ads by Google