GEOMETRY, 2008
36

 PAGE: 286 SET: Exercises PROBLEM: 36

The given vertices of the triangle KLM are .

Use the distance formula to determine the lengths of sides.

The distance d between the points formula is .

Find KL.

(Distance formula)

(Substitute )

(Simplify)

Find LM.

(Distance formula)

(Substitute )

(Simplify)

Find KM.

(Distance formula)

(Substitute )

(Simplify)

If one side of a triangle is longer than another side, then the angle opposite the longer side has a greater measure than the angle opposite the shorter side.

So, the angle opposite to LM is the greater measure and the angle opposite to KM is the second heighest measure.The order of angle measures is .

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