Pythagorean Theorem

1. Pythagorean Theorem
This is a __________
triangle.
Point to the hypotenuse of each
of these triangles.
Pythagorean Theorem:
The hypotenuse is always
a=
a2 + b2 = c2
b=
+
2 2
= 2
c=
+ =
=
=

2. 6
a2 + b2 = c2
+
2 2
= 2
x
+ =
=
3
=
a2 + b2 = c2
+
2 2
= 2
9 + =
=
x
=
4 a2 + b2 = c2
+
2 2
= 2
x
+ =
=
2
=
7
a2 + b2 = c2
x +
2 2
= 2
+ =
5 =
5 =

3. a2 + b2 = c2
The bottom of a ladder must be
placed 3 feet from a wall. The
ladder is 12 feet long. How far
2
+ 2
= 2
above the ground does the 12
ladder touch the wall?
x + =
=
=
3
a2 + b2 = c2
12 90
A soccer field is a rectangle 90
x 2
+ 2
= 2
0
meters wide and 120 meters 120
long. The coach asks players to 144 + 810 = X2
run from one corner to the 00 0
corner diagonally across. What
is this distance?
225 = X2
00
90
150= x
a2 + b2 = c2
15 12 X 15
How far from the base of the +
2 2
= 2
house do you need to place a 12
15-foot ladder so that it exactly
reaches the top of a 12-foot
144 + X2 = 225
tall wall?
X = 81
X
= 9
What is the length of the
a2 + b2 = c2
diagonal of a 10 cm by 15 cm
rectangle? 15 15
+
2 10 2
= X 2
X
225 + 100 = X2
325 =
10
= 18.
02
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4. Go to the following link, and work until you have completed 10 problems correctly.
http://www.shodor.org/interactivate/activities/PythagoreanExplorer/