Question

Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary.

B = 71°, a = 11 cm, c = 18 cm

Answer 1

Here given angle B = 71°, side a = 11 cm, side c = 18cm.

We have to find the area of a triangle.

There is a formula to find the area of a triangle when two sides and angle between them given.

The formula is 1/2 × a × c × sin (B)

So, the area of the triangle

= 1/2 × 11 × 18 × sin(71°) cm²

= 1/2 × 11 ×18 × (0.945518575599) cm²

=1/2 × (187.212677968602) cm²

= 93.606338984301 cm²

We have to round the answer to the nearest hundredth.

So the required area of the triangle = 93.61 cm²