Find perimeter and area of triangle (precalc) question?

Question

How would you find the perimeter and area of Triangle ABC given Angle C=27 degrees, a=4, b=7.62 

I got 16.06 for perimeter and 6.75 for area, but it says that that is wrong??? Am i really close?? Am i just off by a few decimals??

Answer 1

Step 1:

The triangle sides are  and angle .

The area of the triangle is: .

Substitute the values and angle in .

Use calculator substitute, .

Area of the triangle is .

Step 2:

Find .

Use cosine law: .

Substitute the values and angle in the cosine law.

The perimeter of the triangle: .

Substitute the values and in .

Perimeter of the triangle is units.

Solution :

Area of the triangle is .

Perimeter of the triangle is units.