Question

Please help will give brainliest

Answer 1

Answer:

c = 14

Step-by-step explanation:

For this triangle we have to

$a=18.2\\B=62\°\\C=48\°$

We want to find the length of b

We know that the sum of the internal angles of a triangle is 180 °

then

$A + 62 +48=180\\\\A=180-62-48\\\\A=70\°$

Now we use the sine theorem to find the length of c:

$\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}$

Therefore:

$\frac{sin(A)}{a}=\frac{sin(C)}{c}\\\\c=\frac{sin(C)}{\frac{sin(A)}{a}}\\\\c=a*\frac{sin(C)}{sin(A)}\\\\c=(18.2)\frac{sin(48)}{sin(70)}\\\\c=14$

Answer 2

Answer:

c= 14

Step-by-step explanation:

First, let's find the angle A, because it's easy and because we'll need it.

We know that the sum of the interior angles of a triangle is 180, and we have 2 angles... so we can easily find A:

A = 180 - 62 - 48 = 70 degrees

Now, we can use the law of Sines to find c:

$\frac{c}{sin(C)} = \frac{a}{sin(A)}$

so...

$c = \frac{a * sin(C)}{sin(A)} = \frac{18.2 * sin(48)}{sin(70)} = 14.39$

The precise answer is 14.39, but you are asked to round up to the closest whole number... so 14.