Question

find the area of a triangle with the given description. (round your answer to one decimal place.) a triangle with sides of length 14 and 27 and included angle 10°

Answer 1

A ≈ 32.8 units²

Explanation:

the area (A) of a triangle given 2 sides and the included angle is

A =
`(1)/(2)` ab sin C

where a, b are the 2 known sides and C the included angle

here a = 14 , b = 27 and C = 10° , then

A =
`(1)/(2)` × 14 × 27 × sin10° = 7 × 27 × sin10° = 189 × sin10° ≈ 32.8 ( to one decimal place )