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:    $105.19 \text{ square cm}$      

Step-by-step explanation:

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

The area of triangle, $A = \frac{1}{2}\times s_1\times s_2\times sin\theta$

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,

$A = \frac{1}{2}\times 22\times 10\times sin (107)^{\circ}$

$A = 110\times 0.95630475596$

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

Therefore, Third Option is correct.