SOLUTION: 7. Which of the following could NOT be the lengths of the sides of a right triangle? 9 ft, 12 ft, 15 ft 5 in., 10 in., 15 in. 4 cm, 7.5 cm, 8.5 cm 1.5 m, 2 m, 2.5 m

Question 459631: 7. Which of the following could NOT be the lengths of the sides of a right triangle?
9 ft, 12 ft, 15 ft
5 in., 10 in., 15 in.
4 cm, 7.5 cm, 8.5 cm
1.5 m, 2 m, 2.5 m

Found 2 solutions by stanbon, richard1234:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
7. Which of the following could NOT be the lengths of the sides of a right triangle?
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In each set of numbers there is a longest and two shorter sides.
If longest^2 = shorter side^2 + other shorter side ^2
you have a right triangle. If not, you don't.
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Example: 15,12,9
15^2 = 225
9^2 + 12^2 = 81+144 = 225
So this is a right triangle.
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Cheers,
Stan H.
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9 ft, 12 ft, 15 ft
5 in., 10 in., 15 in.
4 cm, 7.5 cm, 8.5 cm
1.5 m, 2 m, 2.5 m

Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
The second answer choice, 5-10-15, since it does not satisfy the Pythagorean theorem. In fact, 5-10-15 cannot be the side lengths of any non-degenerate triangle because it does not even satisfy the triangle inequality.
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