6.2: Pythagorean Theorem Objectives:

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Presentation transcript:

6.2: Pythagorean Theorem Objectives: • Identify parts of a right triangle • Pythagorean Theorem • Converse of Pythagorean Theorem

Concept: Parts of a Right Triangle Legs: The two sides that make up the right angle. Hypotenuse: The side opposite the hypotenuse leg right angle leg

Ex#1: Find the length of the hypotenuse if a = 12 and b = 16. a2 + b2 = c2 1. Plug in the values for a, b, and c. 122 + 162 = c2 144 + 256 = c2 400 = c2 20 = c 2. Square all numbers 3. Simplify 4. Square root both sides

You Try!!! Find the length of the hypotenuse if a = 5 and b = 7. 52 + 72 = c2 25 + 49 = c2 74 = c2 √74 = c

Ex#2: Find the length of the leg, to the Ex#2: Find the length of the leg, to the nearest hundredth, if a = 4 and c = 10. a2 + b2 = c2 42 + b2 = 102 16 + b2 = 100 –16 –16 b2 = 84 b = 9.17 Substitute Square Move the constant Square root

You Try!!! Find the length of the leg, to the nearest hundredth, if c = 10 and b = 7. –49 –49 a2 = 51 a = √51

Homework IXL: Geo: Q1