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Converse to the Pythagorean Theorem

Converse to the Pythagorean Theorem. Ch 7.2. Converse to the Pythagorean Theorem. If the square of the length of the longest side of a triangle is equal to the sum of the squares of the lengths of the 2 other sides, then the triangle is a right triangle.

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Converse to the Pythagorean Theorem

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  1. Converse to the Pythagorean Theorem Ch 7.2

  2. Converse to the Pythagorean Theorem • If the square of the length of the longest side of a triangle is equal to the sum of the squares of the lengths of the 2 other sides, then the triangle is a right triangle.

  3. Verifying that something is or is not a right triangle. 1. First we determine which side would be the hypotenuse. 2. Second we plug the values into the Pythagorean theorem.

  4. Is it a right triangle?

  5. Theorem 7.3

  6. Theorem 7.4

  7. Classify the triangle as right, obtuse or acute. 15, 20, 25 9, 10, 15 right SO ACUTE obtuse 8, 9, 10

  8. Graphing Triangles • When graphing triangles first plot the 3 points. • Decide on your method. • Find the slope and determine whether there are perpendicular lines. (Only works with right triangles) • Find the distance of each side of the triangle, then plug it back into the Pythagorean Theorem.

  9. right Graphing Triangles A (1, 5), B(1, 1), C(6, 1) What kind of triangle is the graphed triangle?

  10. Graphing Triangles A (2, 4), B(4, 1), C(7, 1) What kind of triangle is the graphed triangle? obtuse

  11. Graphing Triangles What kind of triangle is the graphed triangle? A (3, -2), B(1, 0), C(7, 2) Find the distance of each side of the triangle

  12. Graphing Triangles A (3, -2), B(1, 0), C(7, 2) right

  13. Graphing triangles A (-3, 5), B(0,-2), C(4, 1) acute

  14. Page 444 # 9 - 31

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