Question

Sketch and label the triangle described. Side lengths: 14, 17, and 19, with the longest side on the bottom. Angle measures: 45°, 60°, and 75°, with smallest angle at the right.

Answer 1

ANSWER and EXPLANATION

We want to make a rough sketch of the traingle with the given dimensions.

The longest side will be on the bottom, that is 19.

To make this sketch, it is important to note that in a triangle, the sides and angles are proportional.

The longer side will have the largest angle opposite it and the shortest side will have the smallest angle opposite it.

This means that opposite the 19 side will be 75°, opposite 17 wil be 60° and opposite 14 will be 45°.

So, we have:

That is the sketch.