Topic/Title:
Pythagorean Theorem
___________________
Date: ___________ Page #: ____________
SOL: ______________________________
Questions/Main Ideas:
What is the
Pythagorean Theorem?
It is a tool to find the measure of any side of a right
triangle, given the measures of the other two sides.
a2 + b2 = c2
How does the
Pythagorean Theorem
work?
In every right triangle, the square of the measure of the
hypotenuse equals the sum of the squares of the
measures of leg a and b.
a2 + b2 = c2
Which means if you have measures for
legs a and b:
Square them and add them together
Then take their square root this will be c.
What are the parts of a
right triangle ?
EXAMPLE:
When you have the two
legs of the right triangle
and you are looking for
the HYPOTENUSE
2
2
2
A + b = c
A 2 + b 2 = c2
3 2 + 4 2 = c2
9 + 16 = c2
25
= c2
5 = c
Which also means
c2 - a2 = b 2
Which means if you have measures for
leg a or b and the hypotenuse:
Square them and subtract leg (a or b) from the
hypotenuse squared
Then take the square root this will be the
remaining leg (a or b)
When you have the
Hypotenuse and one leg
and you are looking for
the second leg
2
2
2
C2 – a2 = b 2
C – a = b
c2 - A 2 = b 2
2
142 – 102 = b
2
196 - 100 = b
2
96
= b
9.8
= b
YOUR TURN:
1.
2.
Summary: Summarize the Pythagorean Theroem in your own words: