Question

In ΔEFG, g = 53 inches, e = 65 inches and ∠F=117°. Find the area of ΔEFG, to the nearest square inch.

Answer 1

`Area \approx 1535\ in^2`

Explanation:

Given

`g = 53`

`e =65`

`F = 117`

Required

Determine the area

The area is calculated as:

`Area = (1)/(2)absinC`

In this case, it is:

`Area = (1)/(2)egsinF`

So:

`Area = (1)/(2) * 65 * 53 * sin(117)`

`Area = (1)/(2) * 65 * 53 * 0.8910`

`Area = 1534.7475`

`Area \approx 1535\ in^2`