The picture shows a triangle.
Side Lengths: 2cm
, 2.4cm
, 3.6cm
Angle Measures: 32°
, 39°
, 109°
Which choice describes another triangle that can be drawn?
Another triangle that can be drawn with the given side lengths and angle measures is a right triangle.
What are the measurements though?
To determine the measurements of the second triangle, we can start by labeling the sides as a, b, and c, and the angles as A, B, and C.
Given:
Side lengths: 2cm, 2.4cm, 3.6cm
Angle measures: 32°, 39°, 109°
We know that the sum of the interior angles in a triangle is 180°. So, we can find the third angle measure by subtracting the sum of the given angles from 180°:
Third angle measure = 180° - (32° + 39° + 109°)
Third angle measure = 180° - 180°
Third angle measure = 0°
Since one of the angles is 0°, this means that the triangle is degenerate - it becomes a straight line.
Therefore, it is not possible to draw another triangle using the given side lengths and angle measures.