Converse to the Pythagorean Theorem

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7.2 Converse of Pythagorean Theorem

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Presentation transcript:

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.

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.

Is it a right triangle?

Theorem 7.3

Theorem 7.4

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

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.

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

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

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

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

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

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