Question

Find the area of the triangle. Give the answer to the nearest tenth. The drawing may not be to scale.

21.0 m^2
9.8 m^2
19.6 m^2
10.5 m^2

Answer 1

10.5 m²

Explanation:

Given:

∆ with 2 side lengths, 4.7m, 6.1m, and an included angle, 47°.

Required:

Area of the triangle

SOLUTION:

Area of such triangle that has 2 known sides and an included angle between them is given as ½*a*b*sin(θ).

Where,

a = 4.7 m

b = 6.1 m

θ = 47°

Area = ½*4.7*6.1*sin(47)

Area = 10.5 m² (to the nearest tenth)