Pythagorean Triples

The Pythagorean Theorem can be used to solvefor missing sides in right triangles. Given a right triangle with sides a, b and c, the sum of the squares of the legs equals the square of the hypotenuse. Or a ^{2} + b^{2} = c^{2}.Pythagorean Triples are three whole numbers,a,b, and c, which satisfy the Pythagorean Theorem. The most famous Pythagorean Triple is {3,4,5}. Use the grid lines and Pythagorean triples to fill in the missing sides. Use the grid lines and Pythagorean triples to fill in the missing sides. Use the grid lines and Pythagorean triples to fill in the missing sides. Find the length of diagonal AC. A 5 D 12 B C Find the length of diagonal AC. 9 D A 12 C B The area of rectangle ABCD is 240 square units. Find the length of segments AD and DC. A D 24 B C The perimeter of rectangle ABCD is 46 units. Find the length of segments AD and AC. A D 15 B C The perimeter of rectangle ABCD is 140 units. Find the length of segments AD and AC. A D 40 C B 15 miles 20 miles Jake drove 15 miles south and 20 miles east to the club. How far would it have been for him to drive straight there? miles Drag each number into the correct Pythagorean Triple set. {3, ___, 5} {5, 12, ___} {8, 15, ___} 4 ? 13 ? 17 ? {___, 8, 10} 6 ? {10, ___, 26} { ___, 24, 25} 7 ? 24 ? {9, 12, ___} 15 ? {9, 40, ___ } {15, ___, 25} 41 ? 20 ? |

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