Question 135631
The area of a triangle is given by {{{A=(1/2)bh}}} where b is the measure of the base and h is the measure of the height.


You are given that the base is 5 cm longer than the height, so {{{b=h+5}}}


You can substitute this expression for b into the equation for the area:


{{{(1/2)(h+5)(h)}}}, and set that equal to the given area:


{{{(1/2)(h+5)(h)=33}}}


Solve the equation for h giving you part of the answer, then add 5 to the solution to get b.  Remember that since you will be solving a quadratic equation, you will get two roots.  One of the roots in this case will be negative which makes no sense when solving for a length measurement.  So exclude the negative root and the positive root will be your solution (the value for h)