Question

What is the answer for this one? would it be 8??

Answer 1

`Area\ of\ a\ triangle = 1/2 * base * height\\ height = base + 7cm\\ Area = 60 cm^(2) = 1/2 * base * (base + 7cm)\\ \\ 60=(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.`