To determine if 9 in, 12 in, and 15 in could be the sides of a right triangle, we can check if the Pythagorean theorem holds true for these values. According to the Pythagorean theorem:
a^2 + b^2 = c^2
Where a and b are the lengths of the two legs of a right triangle, and c is the length of the hypotenuse.
Let's substitute the given values:
9^2 + 12^2 = 15^2
81 + 144 = 225
Simplifying the equation:
225 = 225
Since the equation holds true, we can conclude that 9 in, 12 in, and 15 in could be the sides of a right triangle.
could 9 in, 12 in, 15 in be the sides of a right triangle
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