5.7: THE PYTHAGOREAN THEOREM (REVIEW) AND DISTANCE FORMULA

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Presentation transcript:

5.7: THE PYTHAGOREAN THEOREM (REVIEW) AND DISTANCE FORMULA

RIGHT TRIANGLES Two sides that form the right angle are called the LEGS The side opposite the right angle is called the HYPOTENUSE

PYTHAGOREAN THEOREM In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.

EXAMPLE 1 Find the length of the missing side.

EXAMPLE 2

YOU TRY IT…

PYTHAGOREAN TRIPLES Examples: 3,4,5 8,15,17 5,12,13

EXAMPLE 3

DISTANCE FORMULA The Pythagorean Theorem can be used to develop the distance formula, which gives the distance between any 2 points on the coordinate plane

EXAMPLE 4

YOU TRY IT…