Question

Please answer question

Answer 1

346.4 cm^2

Explanation:

area = base * height/2

We can use UW as the base.

U + V + W = 180

24 + V + 36 = 180

V = 120

`(\sin W)/(UV) = (\sin V)/(UW)`

`(\sin 36^\circ)/(34) = (\sin 120^\circ)/(UW)`

`UW = (34\sin 120^\circ)/(\sin 36^\circ)`

`UW = 50.1`

Now drop a perpendicular from V to UW to be the height, h.

`\sin 24^\circ = (h)/(UV)`

`\sin 24^\circ = (h)/(34)`

`h = 34 \sin 24^\circ`

`h = 13.8`

area = base * height/2

area = UW * h/2

area = 50.1 cm * 13.8 cm/2

area = 346.4 cm^2