A triangle has a side lengths of 3 centimeters, 5 centimeters, and 4 centimeters. Abe used converse of the Pythagorean Theorem t
o determine whether it is a right triangle.
3^2 + 5^2 = 4^2
9 + 25 = 16
34 ≠ 16
Abe concluded that it is not a right triangle. Is Abe correct?
1 answer:
No, Abe is incorrect.
If you don’t know which side is the hypotenuse, you have to try every possibility.
3^ + 4^ = 5^
25 = 25
The triangle is a right triangle. The side which is 5 cm long is the hypotenuse.
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