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Apocrophon
[tex]Area\ of\ a\ triangle = 1/2 * base * height\\ height = base + 7cm\\ Area = 60 cm^{2} = 1/2 * base * (base + 7cm)\\ \\ 60=\frac{b^{2}+7b}{2}\\ 60*2=b^{2}+7b\\ b^{2}+7b-120=0\\\\ Factor: \\ (b-8)(b+15)\\ b=8\ or\ b=-15\\ Lengths\ cannot\ be\ negative,\ so\ the\ length\ of\ the\ base\ is\ 8.[/tex]

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