Math 116 Unit 2 - Prime Numbers, Rational Numbers, And The Pythagorean Theorem Worksheet Page 8
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8
9
10The following is also true for acute and obtuse triangles
Let a, b, and c represent the three sides of a triangle, then:
<
+
⇒
Δ
2
2
2
c
a
b
ABC
is
an
acute
triangle
>
+
⇒
Δ
2
2
2
c
a
b
ABC
is
an
obtuse
triangle
Determine the type of triangle given the length of its sides
1)
=
=
=
a
1
, 5 .
b
, 2
and
c
2
5 .
=
+
2
2
2
c
a
b
=
+
2
2
2
2
5 .
1
5 .
2
=
+
. 6
25
. 2
25
4
=
⇒
Δ
. 6
25
. 6
25
ABC
is
a
right
triangle
2)
=
=
=
a
20
,
b
21
,
and
c
29
=
+
2
2
2
c
a
b
=
+
2
2
2
29
20
21
=
+
841
400
441
=
⇒
Δ
841
841
ABC
is
a
right
triangle
3)
=
=
=
a
10
,
b
12
,
and
c
16
=
+
2
2
2
c
a
b
=
+
2
2
2
16
10
12
=
+
256
100
144
>
⇒
Δ
256
244
ABC
is
an
obtuse
triangle
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