Question
Given is a right triangle with side lengths a, b, and c. The Pythagorean triple (9, 12, 15) represents the side lengths of the given right triangle. Find the value of c.
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GPT 3.5
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. So, for this triangle, we have:
c^2 = a^2 + b^2
Plugging in the given values, we get:
c^2 = 9^2 + 12^2
c^2 = 81 + 144
c^2 = 225
Taking the square root of both sides, we get:
c = 15
Therefore, the value of c is 15.
c^2 = a^2 + b^2
Plugging in the given values, we get:
c^2 = 9^2 + 12^2
c^2 = 81 + 144
c^2 = 225
Taking the square root of both sides, we get:
c = 15
Therefore, the value of c is 15.
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