Question

Sine rule and area of any triangle

find area of this triangle to 1 decimal place please

I got 61.1 as the answer but it's wrong apparently

thanks ​

Answer 1

94.1 m²

Explanation:

Use the sine rule to find BC

`(BC)/(sin82)` =
`(12)/(sin40)` ( cross- multiply )

BC × sin40° = 12 × sin82° ( divide both sides by sin40° )

BC =
`(12sin82)/(sin40)` ≈ 18.487

Area =
`(1)/(2)` × 12 × 18.487 × sin58° ≈ 94.1