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a drawing shows three squares parking lots that enclose a grassy area shaped like a right triangle. The length of Lot H is 75 ft the length of lot S is 125 ft. what is the length of Lot K?

a drawing shows three squares parking lots that enclose a grassy area shaped like a right triangle The length of Lot H is 75 ft the length of lot S is 125 ft wh class=

Respuesta :

A right triangle is made, where the lengths of Lot H and K are the legs, and the length of Lot S is the hypotenuse. Using Pythagorean theorem:

S² = H² + K²

125² = 75² + K²

15625 = 5625 + K²

15625 - 5625 = K²

10000 = K²

√10000 = K

100 ft = K

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