4.4: THE PYTHAGOREAN

THEOREM AND

DISTANCE FORMULA

Two sides that form the right angle are called the LEGS

The side opposite the right angle is called the HYPOTENUSE

RIGHT TRIANGLES

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.

PYTHAGOREAN THEOREM

EXAMPLE 1

Find the length of the missing side.

EXAMPLE 2

YOU TRY IT…

Examples:3,4,58,15,175,12,13

PYTHAGOREAN TRIPLES

EXAMPLE 3

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

DISTANCE FORMULA

EXAMPLE 4

YOU TRY IT…

Text p. 196 #s 17-22 all

Text p. 197 #s 30-32 all

HOMEWORK

Text p. 196 # 26

HAND IN BEFORE YOU LEAVE…