Question - Calculating Perimeter of a Right Triangle
Solution:
The image shows a right triangle with the legs measuring 48 yards and 60 yards. To find the perimeter of the triangle, we need to find the lengths of all three sides and add them together.We already have the lengths of the two legs:Leg 1: 48 yardsLeg 2: 60 yardsTo find the length of the hypotenuse, 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):c^2 = a^2 + b^2Here, c is the length of the hypotenuse, and a and b are the lengths of the other two sides. Plugging in the provided values, we get:c^2 = 48^2 + 60^2c^2 = 2304 + 3600c^2 = 5904Taking the square root of both sides to solve for c:c = sqrt(5904)c = 76.8 yardsNow we can find the perimeter (P) by adding the lengths of all three sides:P = 48 yards + 60 yards + 76.8 yardsP = 184.8 yardsSo, the perimeter of the triangle is 184.8 yards. If necessary, we round to the nearest tenth, but since 184.8 is already to the nearest tenth, this is our final answer.
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