Given:
Area of the triangle, A = 70 square meters
Base of the triangle, b = 10 meters
To find the height, h, of the triangle, use the area of the triangle formula below:
![A=(1)/(2)* b* h](https://img.qammunity.org/2023/formulas/mathematics/college/klukmao1zkn4o6gpk2g46uus1c52kf9afp.png)
Rewrite the formula for h:
![\begin{gathered} 2A=b* h \\ \\ (2A)/(b)=(b* h)/(b) \\ \\ (2A)/(b)=h \\ \\ h=(2A)/(b) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/jd8qd03bdk3wlc0byczdvdso8pcs0plz1p.png)
To find the height, h, we have the equation:
![h=(2A)/(b)](https://img.qammunity.org/2023/formulas/mathematics/college/1milf6qc2tjxtccvht498otwxdj8iqp3gc.png)
Input values into the equation:
![h=(2(70))/(10)=(140)/(10)=14\text{ }](https://img.qammunity.org/2023/formulas/mathematics/college/8mu1efuu66xq2j05c687hws5vpgyyfw81l.png)
Therefore, the height of the triangle is 14 meters
ANSWER:
14 meters