Linda built a fence around her garden. Her garden is shaped like a right triangle with the smaller side lengths equal to 54 inches and 72 inches. The amount of fencing needed for her garden is ______ inches.
A right triangle is formed with the legs measuring 54 and 72. You need to find the hypotenuse of the right triangle, in order to find the total amount of fencing needed.
Pythagorean Theorem a² + b² = c² {sum of the squares of the legs is equal to the square of the hypotenuse} 54² + 72² = c² {substituted 54 and 72 in for the legs, a and b} 2916 + 5184 = c² {evaluated the exponents} 8100 = c² {added 2916 and 5184} c = 90 {took the square root of each side} The sides of the triangle are 54, 72, and 90. The perimeter of the triangle is 54 + 72 + 90 = 216. She needs 216 inches of fencing. Ask Algebra House
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