Plug in $40$ for the area and $10$ for the base into the triangle area formula, then write the equation in terms of $h$.

After simplifying the constants, you should get a simple one-step equation like $40 = k h$. Solve this equation for $h$ by dividing.

In Desmos, type the expression (2*40)/10. The numerical result that Desmos shows is the value of the triangle's height in meters.

For any triangle, the area is given by

where $A$ is the area, $b$ is the base, and $h$ is the height.

You are told:

• The area is $40$ square meters, so $A = 40$.
• The base is $10$ meters, so $b = 10$.

Substitute these into the formula:

First simplify $\frac{1}{2} \cdot 10$:

So the equation becomes

To isolate $h$, divide both sides by $5$:

So $h = 8$. The height of the triangle is 8 meters.