Question

Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. B = 107°, a = 10 cm, c = 22 cm 32.16 cm2 110 cm2 105.19 cm2 210.39 cm2

Answer 1

Answer:
`105.19 \text{ square cm}`

Explanation:

Since, by the SAS formula of finding the area of triangle,

The area of triangle,
`A = (1)/(2)* s_1* s_2* sin\theta`

Where,
`s_1` and
`s_2` are adjacent sides and
`\theta` is the included angle of these sides

Here,
`s_1=22`
`s_2=10`

And,
`\theta=107^(\circ)`

Thus, the area of the triangle ABC,

`A = (1)/(2)* 22* 10* sin (107)^(\circ)`

`A = 110* 0.95630475596`

`A = 105.193523156\approx 105.19\text { square cm}`

Therefore, Third Option is correct.