Math 116 Unit 2 - Prime Numbers, Rational Numbers, And The Pythagorean Theorem Worksheet Page 7
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10Examples
1)
=
=
Given
a
, 6
b
, 8
find
c
=
+
2
2
2
c
6
8
=
+
2
c
36
64
=
2
c
100
=
2
c
100
=
c
10
2)
=
=
Given
a
10
,
b
, 8
find
c
=
+
2
2
2
c
10
8
=
+
2
c
100
64
=
2
c
164
=
2
c
164
=
⋅
=
c
4
41
2
41
3)
=
=
Given
a
10
,
c
26
,
find
b
=
+
2
2
2
26
10
b
=
+
2
676
100
b
−
=
−
+
2
676
100
100
100
b
=
2
576
b
=
2
b
575
=
b
24
How to determine if a triangle is a right triangle given the lengths of the sides
Converse of the Pythagorean Theorem
Let a, b, and c represent the three sides of a triangle, then:
=
+
⇒
Δ
2
2
2
c
a
b
ABC
is
a
right
triangle
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