The Converse of the Pythagorean Theorem
Essential Question:
How can I apply the converse of
the Pythagorean Theorem to
categorize triangles?
Title: Feb 25­10:43 PM (1 of 10)
The Converse of the Pythagorean Theorem
If c2 = a2 + b2, then
right triangle.
11
Title: Feb 25­10:48 PM (2 of 10)
ABC is a
Categorizing Triangles
If c2< a2 + b2, then ABC is an acute triangle.
A
If c2= a2 + b2, then ABC is a right
triangle.
B
C
If c2> a2 + b2, then ABC is an obtuse triangle.
Title: Feb 25­10:53 PM (3 of 10)
A
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Title: Jan 16­5:37 PM (4 of 10)
1
Categorize this triangle:
A
B
C
acute
right
obtuse
Title: Feb 26­5:53 AM (5 of 10)
14
2
10
6
Categorize this triangle:
A
B
C
acute
12
right
obtuse
Title: Feb 26­5:53 AM (6 of 10)
Categorize this triangle:
3
A
B
C
acute
right
34
obtuse
Title: Feb 26­5:53 AM (7 of 10)
4
Categorize this triangle:
A
B
C
acute
right
5
obtuse
Title: Feb 26­5:53 AM (8 of 10)
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Title: Feb 26­7:36 AM (9 of 10)
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5
A
B
C
acute
right
obtuse
Title: Feb 26­7:41 AM (10 of 10)