Question

Find the area of triangle ABC

Answer 1

A ≈ 31.7 cm²

Explanation:

The area (A) of the triangle is calculated as

A =
`(1)/(2)` × AC × BC × sinC

∠ C = 180° - 72° - 59° = 180° - 131° = 49° , then

A =
`(1)/(2)` × 7 × 12 × sin49°

=
`(1)/(2)` × 84 × sin49°

= 42 × sin49°

≈ 31.7 cm² ( to 1 dec. place )