SAT Question a4ed5285: Area and Volume answer and explanation with Desmos solution

The area, $A$, of a triangle is given by the formula $A=\frac{1}{2}bh$, where $b$ is the length of the base of the triangle and $h$ is the height of the triangle. In the right triangle shown, the length of the base of the triangle is $5$ inches, and the height is $3$ inches. It follows that $b=5$ and $h=3$. Substituting $5$ for $b$ and $3$ for $h$ in the formula $A=\frac{1}{2}bh$ yields $A=\frac{1}{2}\left(5\right)\left(3\right)$, which is equivalent to $A=\frac{1}{2}\left(15\right)$, or $A=\frac{15}{2}$. Therefore, the area of the triangle, in square inches, is $\frac{15}{2}$. Note that 15/2, 7.5, and 7.50 are examples of ways to enter a correct answer.