Question

the area of a triangle can be found with a=(1/2)bh. find h if the base is 10 in. and the area is 250 in²?

Explanation:

Step1: Write the area - formula

The formula for the area of a triangle is $A=\frac{1}{2}bh$, where $A$ is the area, $b$ is the base, and $h$ is the height.

Step2: Substitute the given values

We are given that $A = 250$ in² and $b=10$ in. Substitute these values into the formula: $250=\frac{1}{2}\times10\times h$.

Step3: Simplify the right - hand side

First, simplify $\frac{1}{2}\times10$ to get 5. So the equation becomes $250 = 5h$.

Step4: Solve for h

Divide both sides of the equation by 5: $h=\frac{250}{5}$.
$h = 50$ in.

Answer:

50 in.