Question

The height of a triangle represented by a line segment, is the perpendicular distance from a vertex to the line containing a base. Determine the area of triangle ABC

Answer 1

Answer:

The area of triangle ABC = 18 square units

Explanation:

The height of the triangle, h = 9

The base of the triangle, b = 4

The area(A) of the triangle is given by the formula:

$\begin{gathered} \text{Area = }\frac{1}{2}\times base\times height \\ A\text{ = }\frac{1}{2}bh \end{gathered}$

Substitute b = 4 and h = 9 into the formula:

$\begin{gathered} A\text{ = }\frac{1}{2}\times4\times9 \\ A\text{ = 18} \end{gathered}$

The area of triangle ABC = 18 square units