(The Converse of The Pythagorean Theorem)

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7.2 Converse of Pythagorean Theorem

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Presentation transcript:

(The Converse of The Pythagorean Theorem) Theorem 8-3 (Slightly Reworded): If the square of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle. Theorem 8-3 (Reworded Even More): If… then the triangle is a right triangle.

What happens if… If… then the triangle is an acute triangle. If… then the triangle is an obtuse triangle.

Examples: Determine whether a triangle exists having side lengths given below. If so, tell whether the triangle is obtuse, acute, or right.

Examples: 6 8 x Specify all values of x that make the statement true. The value of x must be between… Is an obtuse angle Is an acute angle Is a right angle 1 6 10 < x < 14 2 < x < 10 2 and 14 X=10 8 x

Is ABC a right triangle? B 20 15 12 A C

Chapter 8 Section 3 Homework: (The Converse of The Pythagorean Theorem) Homework: Section 8.3 Written Exercises (p. 297) #1-14 (all) & #16