Name:
Date:
School:
Facilitator:
10.02 Exploring the Converse of the Pythagorean Theorem
Total Points: 37
Part 1
Go to the
GeoGebra
activity linked on the Introduction and Task page to complete this Task.
Move points A and B to change
the triangle into an acute, right, or obtuse triangle. Create two right triangles, two acute triangles, and two obtuse triangles.
Make sure that c is larger than a and b.
You also can see c
2
and a
2
+ b
2
.
Fill in the chart below. The first one has been done for
you.
c
a
b
c
2
a
2
+b
2
State the relationship
between c
2
and a
2
+ b
2
Type of Triangle
10
8
6
100
100
c
2
= a
2
+ b
2
right
13
12
5
169
169
c
2
=
a
2
+ b
2
right
6
4
4
36
32
c
2
>
a
2
+ b
2
acute
13
6
7
169
85
c
2
>
a
2
+ b
2
acute
4
3
3
16
18
c
2
<
a
2
+ b
2
obtuse
5
4
4
25
32
c
2
<
a
2
+ b
2
obtuse
Part 2
Use your recorded information in the chart to answer the following questions.
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