Question

Find the area of triangle ABC. A = 21.67°, b = 17.2 m, c = 7.1 m

Answer 1

`\textrm{area} = \frac 1 2 b c \sin A`

= (1/2) (17.2) (7.1) sin (21.67)

= 22.5470 square meters

Answer 2

Area of triangle ABC = 22.53 m^2

Explanation:

We need to find the area of triangle ABC

And A = 21.67°, b = 17.2 m, c = 7.1 m are given

We will use the formula:

Area of triangle ABC = 1/2 bc sin A

because we are given two sides and included angle.

Putting values of b, c and A in the formula

Area of triangle ABC = 1/2 * 17.2 * 7.1 * sin (21.67°)

Area of triangle ABC = 1/2 * 17.2 * 7.1 * 0.369

Area of triangle ABC = 45.06/2

Area of triangle ABC = 22.53 m^2