Question

May I please get help with this math. I have tried so many times but still could not find the right answer

Answer 1

In any triangle, the greatest angle is opposite to the greatest side and the smallest angle is opposite to the smallest side.

Knowing that, first let's find the measure of the third angle, using the property that the sum of internal angles in any triangle is equal to 180°:

`\begin{gathered} C+D+E=180 \\ 42+55+E=180 \\ E=180-55-42 \\ E=83\degree \end{gathered}`

The smallest angle is C, so the smallest side is DE.

The greatest angle is E, so the greatest side is CD.

Therefore the order is:

DE < CE < CD