Question 1151121
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base = x
height = x/4
'altitude' is another term for 'height'


Area of triangle = (1/2)*base*height
Area of triangle = (1/2)*x*(x/4)
Area of triangle = (1/2)*x*(1/4)*x
Area of triangle = (1/2)*(1/4)*x*x
Area of triangle = (1/8)*x^2
Area of triangle = 12 
(1/8)*x^2 = 12
8*(1/8)*x^2 = 8*12 ... multiply both sides by 8
x^2 = 96
x = sqrt(96) ... note: the base cant be negative
x = sqrt(16*6)
x = sqrt(16)*sqrt(6)
x = 4*sqrt(6) is the base
x/4 = (4*sqrt(6))/4 ... divide both sides by 4
x/4 = <font color=red size=4>sqrt(6) is the altitude</font>
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