We have been given a with an area of
Recall that is half the product of its legs. With this, we can write an equation to model the area of the given triangle.
To find the dimensions of the triangle, we should solve the equation above. Let's start by writing it in .
Write in slope-intercept form
Next, we will factor the resulting equation.
Now, we can apply the to solve it.
Because the legs of a right triangle cannot
have negative values, the value of
From here, we can determine the dimensions as shown below.