04/21/23
Geometry
Section 9.3The Converse of the Pythagorean Theorem
right
right
If it is a right triangle, it will satisfy the Pythagorean Theorem2 2 2a b c
Note: c is always the longest side
2 2224 8 6 8 15 576 384 960
960 960 The triangle is a right triangle
2 2 2a b c
2 2 233 56 65 1089 3136 4225
4225 4225
The triangle is a right triangle
22 210 2 38 16
100 152 256 252 256
The triangle is not a right triangle
acute
acute
obtuse
obtuse
2 2 2If , then the triangle is acutea b c 2 2 2If , then the triangle is obtu e sa b c 2 2 2If , then the triangle is righta b c
2 2 228 40 48
784 1600 2304
2384 2304acute
2 2 25.7 12.2 13.9
32.49 148.84 193.21
181.33 193.21obtuse
2 2 2If , then the triangle is acutea b c 2 2 2If , then the triangle is obtu e sa b c 2 2 2If , then the triangle is righta b c
2 2 216 30 34256 900 1156
1156 1156
Right triangle
A triangle can’t be formed
In order for a triangle to be formed,the sum of any two sides must be
larger than the third side.
• End
• Assignment:– Pg.546 # 8-25,26,28,30,47-53
04/21/23
Geometry
Section 9.3The Converse of the Pythagorean Theorem
2 2 2If , then the triangle is acutea b c 2 2 2If , then the triangle is obtu e sa b c 2 2 2If , then the triangle is righta b c
2 2 2If , then the triangle is acutea b c 2 2 2If , then the triangle is obtu e sa b c 2 2 2If , then the triangle is righta b c