leg

1
Pythagorean Theorem
If (leg)2 (leg)2 (hypotenuse)2, then the
triangle is a right triangle.
hypotenuse
leg
leg
Is the triangle to the left a right triangle?
13
(leg)2 (leg)2 (hyp)2
8
82 92 132
64 81 169
145 ? 169 not a right triangle
9
2
Pythagorean Theorem
The two legs of a right triangle are 6 and 7.
Between what two integers would the length of the
hypotenuse fall?
c
a
a2 b2 c2
62 72 c2
b
36 49 c2
Legs
85 c2
Hypotenuse
Since 85 is between the perfect squares of 81 and
100, the hypotenuse is between
9 and 10.
3
Pythagorean Theorem
13
(leg)2 (leg)2 (hypotenuse)2
12
122 x2 132
144 x2 169
X
-144 -144
Legs
x2 25
Hypotenuse
x 5
4
A 30 foot ladder is placed against the side of a
building. The base of the ladder is 9 feet from
the base of the building. How high up the side of
the building is the top of the ladder?
(leg)2 (leg)2 (hypotenuse)2
building
92 X2 302
81 X2 900
ladder
-81 -81
X
30
X2 819
X 28.62 ft.
9
ground