a dining table in the shape of a rectangle ABCD has sides of length 72cm and ×cm, and the length of the diagonal BD is 78cm . find the value of ×.
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we know that
(2x+12)^2 + x^2 = (2x+18)^2
expand all that and solve the quadratic, and you get
x = 30
check: 30^2 + 72^2 = 78^2
That’s just 6 times a 5-12-13 triangle