MPM1DW
Date: __________________________
The Pythagorean Theorem states that in a right-angled triangle the square of the hypotenuse is equal to the
sum of the squares of the other two sides. Often it is simplified to a 2  b 2  c 2 , or c 2  a 2  b 2 , where c is
the hypotenuse and a and b are the other two sides.
The hypotenuse is always the longest side and the side
That is opposite the right angle.
Finding the hypotenuse is easy, because c 2 is the subject of the equation.
Ex 1
a.
Find the missing side length
b.
Finding one of the other unknown sides is more difficult because it requires rearranging the formula for a 2 o
b 2 (it doesn’t matter whether you label the other sides a or b).
Ex 2
Find the missing side length
a.
b.
Word Problem:
Ex 3
An 8m ladder is leaned against a wall and up to a window sill, the base of the ladder is 2.5m from
the wall. How high up the wall does the ladder reach?
Work Assignment
Pg 26 # 1→7