Question

The base of a triangle is 3cm longer than its height. Given that the area of the triangle is 35cm², determine the height of the triangle.

Answer 1

A = 35cm²
½(x +3)x =35
A = ½x² + ^3x/₂ =35
x² +3x − 70 = 0
x = −3 ± √(9 + 4 × 70)
                 2
x = −3 ± 17
            2
x = ¹⁴/₂ 
x = 7cm