PYTHAGORAS
Proved
In a right triangle, the square of the hypotenuse is equal to the sum of the
squares of the legs.
HOMEWORK
There are many different proofs that exist that proof the Pythagorean Theorem.
Find one and know it for the Chapter 8 Test!
THE EARLY GREEKS THOUGHT OF THE PYTHAGOREAN THEOREM IN THIS FORM:
The area of the square on the hypotenuse of a right triangle equals the sum of the areas of
the squares on the legs.
Draw a diagram to illustrate that interpretation.
HTTPS://WWW.YOUTUBE.COM/WATCH?V=PVO6SZYE13Y
Channing Tatum walked 2 km north, 6 km west, 4 km north, and 2 km west. If he decides to
“go straight,’ how far must he walk across the fields to his staring point?
A model rocket shot up to a point 20m above the ground, hitting a smokestack, and then dropped straight down to a point 11 m from its launch site. Find, to the nearest meter, the total distance traveled from launch to touchdown.
An isosceles trapezoid ABCD,
The altitude of the trapezoid is and the upper base, , has a length of
Find:
a.) The coordinates of C and D.
b.) The length of the lower base.
c.) The length of the segment joining the midpoints of and .
d.) The length of the segment joining the midpoints of the diagonals of the trapezoid.