Question

What is the area of triangle ABC? Round your final answer to the nearest cm.

Answer 1

Answer:

A = 21.65 cm squared

Step-by-step explanation:

The basic area formula for a triangle is

$A= \frac{1}{2}bh$

We have our base as 5, so we can find the height using right triangle trig.  Side BC is opposite the given angle, which is the height, and we are given side CD as 5 which is the base.  Using the tangent ratio to find side BC:

$tan(60) = \frac{x}{5}$ which simplifies to

5 tan(60) = x so

x = 8.66

Filling in for the area:

$A= \frac{1}{2}(5)(8.66)$ so

A = 21.65 cm squared