The rectangular section of fencing below is reinforced with wood nailed across the diagonal of the rectangle. What is the length of the diagonal?
A rectangular fence has a diagonal board dividing it into 2 right triangles. The triangle has a leg measuring 6 feet and, a leg measuring 8 feet.
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The diagonal of the rectangle is the hypotenuse of the right triangle. The hypotenuse can be calculated using the Pythagorean theorem: c^2 = a^2 + b^2, where c is the hypotenuse, a is the first leg, and b is the second leg. In this case, c^2 = 6^2 + 8^2 = 36 + 64 = 100. The diagonal of the rectangle is the square root of 100, which is 10 feet.
1 answer