Question

MATH HELP 50 POINTS

Answer 1

The answer is 19.45.  Hope I helped!

Answer 2

In order to find the value for 'a', we can use the law of cosine, which is given by

$a^2=b^2+c^2-2bc\cos A$

From the given triangle, we have

$b=13,c=11,A=108^{\circ}$

On substituting these values in the above mentioned formula, we get

$a^2=13^2+11^2-2\cdot 13 \cdot 11 \cos 108^{\circ}\\\\a^2=169+121-2\cdot 13 \cdot 11 \cos 108^{\circ}\\\\\\a^2=378.38\\\\a=19.45$

Thus, the length of a is 19.45

Second option is correct.