Question

Please answer question

Answer 1

Answer:

346.4 cm^2

Step-by-step explanation:

area = base * height/2

We can use UW as the base.

U + V + W = 180

24 + V + 36 = 180

V = 120

$\dfrac{\sin W}{UV} = \dfrac{\sin V}{UW}$

$\dfrac{\sin 36^\circ}{34} = \dfrac{\sin 120^\circ}{UW}$

$UW = \dfrac{34\sin 120^\circ}{\sin 36^\circ}$

$UW = 50.1$

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

$\sin 24^\circ = \dfrac{h}{UV}$

$\sin 24^\circ = \dfrac{h}{34}$

$h = 34 \sin 24^\circ$

$h = 13.8$

area = base * height/2

area = UW * h/2

area = 50.1 cm * 13.8 cm/2

area = 346.4 cm^2