Geometry Section 7.1 Apply the Pythagorean Theorem.

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Presentation transcript:

Geometry Section 7.1 Apply the Pythagorean Theorem

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.

Examples Find the unknown side length x x

Examples The top of a ladder rests against a wall 23 feet above the ground. The base of the ladder is 6 feet away from the wall. What is the length of the ladder? Find the area of the isosceles triangle with side lengths of 26 m, 26 m, and 20 m.

Pythagorean Triples 3, 4, 55, 12, 138, 15, 177, 24, 25 6, 8, 1010, 24, 2616, 30, 3414, 48, 50 9, 12, 1515, 36, 3924, 45, 5121, 72, 75 30, 40, 5050,120,13080,150,17070,240,250 3x, 4x, 5x5x,12x,13x8x,15x,17x7x, 24x,25x

Assignment Section 7-1 Page 436 Problems #4-26 even, 32