Answer:
Let the length of the base of a triangle is x inches then the length of its height is
(x+2) inches, accordingly:
Area of the A = x.(x+2)/2 = 12.
or, x^2 + 2.x = 24. or, x^2. + 2.x - 24 = 0.
or, (x+6).(x-4) = 0.
or, x = -6 (not valid), 4.
Thus, base = 4 inches., height = (x+2) = (4+2) = 6 inches. and hypotenuse
=√{4^2+6^2)=√ 52. = 2√13 inches. Answer.
