Today you will
Use the Pythagorean Theorem to find missing lengths of
sides of right triangles
Use the distance formula to find distances on a
coordinate plane
The Pythagorean Theorem
Hypontenuse
Leg
Leg
Find the missing side of each right triangle.
Round to the hundredths if needed.
21
72
Pythagorean Triple: A group of 3 counting numbers that
satisfy the equation a2 + b2 = c 2
Determine whether each set of measures can be sides of a
right triangle.
Then determine whether they form a Pythagorean Triple.
11, 21, 18
75, 21, 72
9, 2 10, 11
The Distance Formula
Find the distance between the points at
P(4, 3) and Q(1, -2)
The distance between any two points
with coordinates (x1 , y1) and (x 2 , y2) is:
d = (x 2 - x1)2 + (y2 - y1)2
Find the distance between the points
(8, -10) and (4, 3)
The shed in Stephan's back yard has a door that
measures 6 feet high and 3 feet wide.
He would like to store a square theater prop that is 7 feet
on a side.
Will it fit through the door diagonally? Explain.
Carol and Megan go camping. They find their campsite
and pitch their tent.
Carol goes on a hike. She hikes 2 miles due north and
then 3 miles due east.
Megan also goes on a hike. She hikes 4 miles due west
and 1 mile due south.
How far apart are Carol and Megan "as the crow flies?"
A baseball diamond is a square. Each base path is 90 feet
long. After a pitch, the catcher quickly throws the ball from
home plate to a teammate standing at second base. Find
the distance the ball travels. Round your answer to the
nearest tenth.