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Triangle Review
A scalene triangle has no
sides and no angles equal.
An isosceles triangle has two
sides and two angles equal.
An equilateral triangle has three
sides and three angles equal.
A right triangle has one
right angle.
Identify the triangle below;
right isosceles
How are the three sides of a right triangle
related to each other?
The Pythagorean Theorem
2
2
2
a +b =c
c
a
b
Hypotenuse, the longest
side of a right triangle
Example 1: Calculate side c.
c2 = a 2 + b 2
2
2
2
c =8 +6
c2 = 64 + 36
2
c = 100
c  100
c = 10
c
8
6
Example 2: Calculate side x.
x
7
12
hypotenuse
2
a +
2
x +
2
b
2
7
2
c
=
2
= 12
2
x + 49 = 144
x2 = 144 – 49
2
x = 95
x  95
x = 9.7
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