Question

In ΔTUV, t = 320 inches, u = 360 inches and ∠V=81°. Find the area of ΔTUV, to the nearest square inch.

Answer 1

56000

Explanation:

Answer 2

`Area = 56892in^2`

Explanation:

Given

`\triangle TUV`

`t = 320in`

`u = 360in`

`\angle V = 81^\circ`

Required

Calculate the area

Given two sides and a middle angle, the area of a triangle is:

`Area = (1)/(2)ab*sinC`

In this case, it is:

`Area = (1)/(2)tu*sinV`

`Area = (1)/(2)*320*360*sin(81)`

`Area = (1)/(2)*320*360*0.9877`

`Area = 56891.52`

`Area = 56892in^2` --- approximated