Question

List the side lengths of △TUV in order from smallest to largest.

Answer 1

The sum of angles in a triangle is 180°

From the given angles given, if we are to determine the sizes of the angles from least to the highest, we will simply add the angles together and then equate to 180°

Solution

`(P+60)+(44P)+(P+74)=180`

`\begin{gathered} 2P+44P+134=180 \\ 46P=180-134 \\ 46P=46 \\ P=(46)/(46) \\ P=1 \end{gathered}`

The next step will be to find the values of each angle

[tex]

[tex]

[tex]

Since we have the values of each angle of the triangles, we can list out the sides of the triangles from smallest to largest

we will have

The smallest to be UV

The bigger will be UT

The biggest will be TV

Thus, the order is

[tex]UV