If A = 50 degrees, B = 62degrees, and a = 4, find c.

Question

asked Dec 14, 2023 109k views

1 Answer

Moshe Nagar · Answer 1 · 2023-12-18T12:34:44+0000

ANSWER

$c\approx4.8$

Step-by-step explanation

To answer this question, we have to first find the measure of the third angle,

The sum of angles in a triangle is 180 degrees, which means that:

$\begin{gathered} Now, we <strong>apply the sine rule</strong>:[tex](\sin A)/(a)=(\sin C)/(c)$

This means that:

$\begin{gathered} (\sin50)/(4)=(\sin 68)/(c) \\ \Rightarrow c=(4\cdot\sin 68)/(\sin 50) \\ c\approx4.8 \end{gathered}$

That is the value of c to the nearest tenth.