Answer question (a) with working out please?
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By pythagoras's theorem , we have
perpendicular^2 + base^2 = hypotenuse^2
x^2 + (x+2)^2 = 10^2 = 100
x^2 + x^2 + 4 + 4x = 100
2x^2 + 4x = 96
2x ( x + 2 ) = 96
Now express 96 in form of 2x ( x + 2) like this
96 = 2 × 6 ( 6 + 2)
So , x = 6
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