The base of a triangle is 3cm longer than its height. Given that the area of the triangle is 35cm^{2}, determine the height of the triangle.

A = 35cm^{2}½(x +3)x =35A = ½x^{2} + ^{3x}/_{2} =35x^{2} +3x − 70 = 0x = −3 ± √(9 + 4 × 70) 2x = −3 ± 17 2x = ^{14}/_{2} x = 7cm

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