Question

3. What is the exact area of triangle ABC? Use special right triangles to help find the base of the triangle. Show your work.

Answer 1

The exact area of triangle ABC is 93.51 cm².

The given parameters;

• Height of the triangle, h = 18 cm

The base of the triangle is calculated by using trigonometry ratio as follows;

$tan (30) = \frac{b}{18}$

where;

• b is the base of the triangle ABC

$b = 18 \times tan(30)\\\\b = 10.39 \ cm$

The area of the triangle ABC  with the calculated base and given height is calculated as follows;

$A = \frac{1}{2} \times base \times height\\\\A = \frac{1}{2} \times 10.39 \times 18\\\\A = 93.51 \ cm^2$

Thus, the exact area of triangle ABC is 93.51 cm².

Learn more about area of a triangle here: brainly.com/question/23945265