Question

The diagonal of a Rectangular field is60meters more than the shorter side.if the longer side is30 meters more than the shorter side, find the side's of the field​

Answer 1

Answer:

the length's of sides are 90 and 120

Step-by-step explanation:

suppose sides are x and (x+30) and diagonal (x+60)

by the pythagores Theorem

(30 + x)^2 + x^2 = (60 + x)^2

900 + 60x + x^2 + x^2 = 3600 +120x +x^2 x^2 = 60x + 2700

x^2 - 60x - 2700 = 0

x^2 -90x+30x -2700 = 0

x(x - 90) + 30(x - 90) = 0

(x - 90)(x + 30) = 0

x = 90 & -30

side can not be 0

therefore sides are 90 and 120

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