# Objective- To solve problems involving the Pythagorean Theorem.

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

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

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

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

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

Solve for x. x 6 8 x = 10

Solve for y. 7 4 y

Solve for t. 6 t 15

Pythagorean Triples

Pythagorean Triples 12 9 15

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.

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

Informal Proof #1 Inscribe a square within the square.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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