Question - Calculating the Length of a Hypotenuse
Solution:
The Pythagorean theorem states that for a right-angled triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). The theorem can be written as:c² = a² + b²In the provided right-angled triangle, side a is 9 ft and side b is 12 ft. You are asked to find the length of the hypotenuse (c).Using the Pythagorean theorem:c² = 9² + 12²c² = 81 + 144c² = 225To find the length of c, take the square root of both sides:c = √225c = 15 ftTherefore, the length of the hypotenuse is 15 feet.
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