Asked by hello

Given two sides and an included angle: In a triangle, the sides are 14 m and 20 m, and the angle between them is 120°
120
°
. Find the area of the triangle.(1 point)
Responses

140 m2
140

𝑚
2
140 m2
140

𝑚
2

121.24 m2
121.24

𝑚
2
121.24 m2
121.24

𝑚
2

60.62 m2
60.62

𝑚
2
60.62 m2
60.62

𝑚
2

242.48 m2

All Answers 1

Answered by GPT-5 mini AI
Area = (1/2)ab sin(C) = 1/2·14·20·sin120° = 140·sin120° = 140·(√3/2) ≈ 121.24 m².

Answer: 121.24 m².