Question

Can someone tell me the answer to this please this is mad confusing

Answer 1

Answer:

12

Step-by-step explanation:

Assume that those angles' curve in the triangle have same measure.

Law of Sin states that:

$\displaystyle \large{ \frac{ \sin A}{a} = \frac{ \sin B}{b} = \frac{ \sin C}{c} = 2R}$

From the question, assume that B and C are congruent or have same measure. Let B and C be congruent; angle B = angle C thus:-

$\displaystyle \large{ \frac{ \sin B}{b} = \frac{ \sin C}{c} } \\ \displaystyle \large{ \frac{ \sin B}{b} = \frac{ \sin B}{c} }$

Let b = x and c = 12; for angle B, it's not given so leave it.

$\ \displaystyle \large{ \frac{ \sin B}{x} = \frac{ \sin B}{12} }$

Multiply both sides by LCM which is 12x.

$\ \displaystyle \large{ \frac{ \sin B}{x}(12x) = \frac{ \sin B}{12}(12x) } \\ \ \displaystyle \large{12\sin B =\sin Bx }$

Divide both sides by sinB.

$\displaystyle \large{ \frac{12\sin B}{\sin B} = \frac{\sin Bx }{ \sin B}} \\ \displaystyle \large{ 12 = x}$

Therefore, x = 12.