What is the length of AB⎯⎯⎯⎯⎯ ? Enter your answer in the box. Round only your final answer to the nearest whole number. cm Triangle A B C has angle A labeled 80.4 degrees with its opposite side labeled 17 and angle C labeled 48.9 degrees with its opposite side labeled c.

Accepted Solution

Answer:AB = 12.99Step-by-step explanation:To answer this problem, use the breast theorem.[tex]\frac{sinA}{a} = \frac{sinC}{c}[/tex]The side opposite angle C is denoted by the letter c. It is also denoted as AB sideWe know that:A = 80.4°a = 17C = 48.9Then we have that:[tex]\frac{sin(80.4\°)}{17} = \frac{sin(48.9\°)}{c}[/tex]Now clear the variable c from the equation[tex]c = \frac{sin(48.9\°)}{\frac{sin(80.4\°)}{17}}[/tex][tex]c = 12.99[/tex]