Question
If a right triangle has legs that are both 12 cm long how long is the hypotenuse?
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GPT 3.5
By using the Pythagorean theorem, the length of the hypotenuse can be calculated. The Pythagorean theorem states that the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).
In this case, the two legs (a and b) are both 12 cm long. So, the hypotenuse (c) can be calculated as follows:
c^2 = a^2 + b^2
c^2 = 12^2 + 12^2
c^2 = 144 + 144
c^2 = 288
Taking the square root of both sides:
c = √288
Using a calculator or simplifying the square root, c ≈ 16.97 cm.
Therefore, the length of the hypotenuse is approximately 16.97 cm.
In this case, the two legs (a and b) are both 12 cm long. So, the hypotenuse (c) can be calculated as follows:
c^2 = a^2 + b^2
c^2 = 12^2 + 12^2
c^2 = 144 + 144
c^2 = 288
Taking the square root of both sides:
c = √288
Using a calculator or simplifying the square root, c ≈ 16.97 cm.
Therefore, the length of the hypotenuse is approximately 16.97 cm.
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