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Objective The student will be able to:
use the Pythagorean Theorem
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What is a right triangle?
hypotenuse leg right angle leg It is a triangle which has an angle that is 90 degrees. The two sides that make up the right angle are called legs. The side opposite the right angle is the hypotenuse.
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The Pythagorean Theorem
In a right triangle, if a and b are the measures of the legs and c is the hypotenuse, then a2 + b2 = c2. Note: The hypotenuse, c, is always the longest side.
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Find the length of the hypotenuse if 1. a = 12 and b = 16.
= c2 = c2 400 = c2 Take the square root of both sides. 20 = c
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Find the length of the hypotenuse if 2. a = 5 and b = 7.
= c2 = c2 74 = c2 Take the square root of both sides. 8.60 = c
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Find the length of the hypotenuse given a = 6 and b = 12
180 324 13.42 18
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The Pythagorean Theorem
7.3 – Square Roots and The Pythagorean Theorem Find the length of the hypotenuse of the given right triangle. The Pythagorean Theorem: hypotenuse 5 feet a c b 12 feet
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The Pythagorean Theorem
7.3 – Square Roots and The Pythagorean Theorem Find the length of the hypotenuse of the given right triangle. The Pythagorean Theorem: hypotenuse 4 feet a c b 7 feet Use the Square Root Table
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What are Pythagorean Triples?
Three integers that make the equation a2 + b2 = c2 true are called Pythagorean Triples. The numbers 3, 4 and 5 are a very famous Pythagorean Triple. a2 + b2 = c2 = 52 = 25
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