1. Converse of Pythagorean Theorem
11/7/12 Unit 2 Triangles
Converse of Pythagorean Theorem

2. Given the lengths of three sides, how do you know if you have a right triangle?
Given A = 6, B=8, and C=10, describe the triangle.
If A2 + B2 = C2
= 102
= 100
This is true, so you have a right triangle. C A B

3. If C2 < A2 + B2, you have an acute triangle.
Given A = 4, B = 5, and C =6, describe the triangle.
C2 < A2 + B2
62 <
36 <
36 < 41, so we have an acute triangle. A B C

4. If C2 > A2 + B2, you have an obtuse triangle.
Given A = 4, B = 6, and C =8, describe the triangle.
C2 > A2 + B2
82 >
64 >
64 >52, so we have an obtuse triangle. A B C

5. Describe the following triangles as acute, right, or obtuse
1) A=9, B=40, C=41
2) A=10, B=15, C=20
3) A=2, B=5, C=6
4) A=12, B=16, C=20
5) A=11, B=12, C=14
6) A=2, B=3, C=4
7) A=1, B=7, C=7
8) A=90, B=120, C=150
obtuse
obtuse
right
acute C A
obtuse
acute
right B