Converse of the Pythagorean Theorem
This triangle is an acute triangle.
This triangle is a right triangle.
This triangle is an obtuse triangle.
13
14
19
Given a triangle with the sides 11, 60, 61 is it anacute triangle, a right triangle, or an obtusetriangle?

Acute

Right

Obtuse

This triangle is a right triangle.
This triangle is an obtuse triangle.
This triangle is an acute triangle.
35
37
51
Given a triangle with the sides 18, 80, 82 is it anacute triangle, a right triangle, or an obtusetriangle?

Acute

Obtuse

Right

This triangle is an acute triangle.
This triangle is a right triangle.
This triangle is an obtuse triangle.
1.5
2
2.5
Given a triangle with the sides 30, 40, 50 is it anacute triangle, a right triangle, or an obtusetriangle?

Acute

Right

Obtuse

Given a triangle with the sides 5, 12, 13 is it anacute triangle, a right triangle, or an obtusetriangle?

Right

Acute

Obtuse

This triangle is an obtuse triangle.
This triangle is an acute triangle.
This triangle is a right triangle.
8
10
12
This triangle is an obtuse triangle.
This triangle is a right triangle.
This triangle is an acute triangle.
17
19
26
Given a triangle with the sides 28, 45, 51 is it anacute triangle, a right triangle, or an obtusetriangle?

Right

Obtuse

Acute

What are the possible lengths of a third side of a 
triangle if two of the sides are...
5)  Not used
1)  6 and 9
2)  5 and 10
3)  2 and 5
4)  3 and 12
9 < x < 15
?
3 < x < 7
?
5 < x < 15
?
3 < x < 15
?
3 < x < 10
?
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