Question

Given two sides and an included angle: In a triangle, the sides measure 8 cm and 12 cm, and the included angle between them is 60°
60
°
. Find the area of the triangle.(1 point)
Responses

41.57 cm2
41.57

𝑐
𝑚
2
41.57 cm2
41.57

𝑐
𝑚
2

48 cm2
48

𝑐
𝑚
2
48 cm2
48

𝑐
𝑚
2

24 cm2
24

𝑐
𝑚
2
24 cm2
24

𝑐
𝑚
2

83.14 cm2

Answer 1

Area = (1/2)ab sin(C) = (1/2)(8)(12) sin 60° = 48·(√3/2) = 24√3 ≈ 41.57 cm².

So the correct choice is 41.57 cm².