Question

TRIGONOMETRY What is the measure of the largest angle of a triangle having sides of length 20.2,34.2 and 21.3? Round to the nearest hundredth

Answer 1

A is = 110.97

Explanation:

To figure out the largest angle of the triangle above, we are going to use cosine rule belowBy substituting the values, we will haveCollect similar terms

Answer 2

We can use the law of cosines to find the angle across the 34.2-length side:

`\begin{gathered} (34.2)^2=(20.2)^2+(21.3)^2-2(20.2)(21.3)\cos C \\ \Rightarrow1169.64=408.04+453.64-860.52\cos C \\ \Rightarrow\cos C=(1169.64-408.04-453.64)/(-860.52)=-0.358 \\ \Rightarrow C=\cos ^(-1)(-0.358)=111 \\ C=111\degree \end{gathered}`

therefore, the measure of the largest angle is 111 degrees