Objective To solve problems involving the Pythagorean Theorem

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

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

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

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

Solve for x. 6 x 8 x = 10

Solve for y. 7 4 y

Solve for t. 6 t 15

Pythagorean Triples 3 4 5 6 8 10 9 12 15 12 16 20

Pythagorean Triples 3 4 5 5 12 13 7 24 25 6 8 10 10 24 26 14 48 50 9 12 15 15 36 39 21 72 75 12 16 20 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. 4 ft. x 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 c c b a b

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

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

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

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

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

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

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

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

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

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

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

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

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

Informal Proof #1 a b c c b a

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