Solution:
Notice that the formula for the area of a triangle is given by :
![A=\frac{b\text{ x h}}{2}](https://img.qammunity.org/2023/formulas/mathematics/college/80zv9p7opo1m3a8merfq1i3akcl2kic6wn.png)
Where b is the base of the triangle, and h is the base of the triangle. Then, replacing the data given in the problem, we get the following equation:
![88=\frac{11\text{h}}{2}](https://img.qammunity.org/2023/formulas/mathematics/college/5nlha1m3zss5cv9bw30tx78p7ataopb8vx.png)
Now, by cross -multiplication we get:
![88\text{ x 2 = 11 h}](https://img.qammunity.org/2023/formulas/mathematics/college/1vz55rz28apvpqew160tw7q25l8dqepyi8.png)
this is equivalent to :
![176\text{ = 11h}](https://img.qammunity.org/2023/formulas/mathematics/college/u81dwalndfoijo9o3jw6w5jx7t2buuh4t3.png)
solving for h, we get:
![h\text{ = }(176)/(11)\text{ = 16}](https://img.qammunity.org/2023/formulas/mathematics/college/dkps8t0foqipcwl9lyir3jlpxizlue29gw.png)
then, we can conclude that the height of the triangle is
![h\text{ = 16}](https://img.qammunity.org/2023/formulas/mathematics/college/e1fft9fpii47ue5ursxd5iodlaftunnjrs.png)