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# geometry

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A square is constructed using the hypotenuse line AC of right triangle ABC as a side, as shown below. Find the area of the square if AB = 5 and BC = 8.

Oct 16, 2020

#1
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Find the hypotenuse (which is the side length of the square) via the pythagorean theorem

a2 + b= c2

5^2 +8^2  = c^2       c = sqrt (89)

Area of square =   side^2        sqrt(89)2  = 89 units 2

Oct 16, 2020
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