Question - Solving for the Length of a Right Triangle Leg
Solution:
The image shows a right triangle, with one leg measuring 10 feet and the hypotenuse measuring 45 feet. To solve for the length of the other leg of the triangle, we can use the Pythagorean theorem, which states that in a right 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):c² = a² + b²Here, we know the hypotenuse (c) is 45 feet and one leg (a) is 10 feet. We need to find the length of the other leg (b):45² = 10² + b²2025 = 100 + b²2025 - 100 = b²1925 = b²Now, we take the square root of both sides to find the length of the unknown side (b):b = √1925b ≈ 43.86 feetThe length of the other leg is approximately 43.86 feet.
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