Question

2. A triangle has an angle measuring 90°, an angle measuring 20°, and a side that is 6

units long. The 6-unit side is in between the 90° and 20° angles.
a. Sketch this triangle and label your sketch with the given measures.
b. How many unique triangles can you draw like this?

Answer 1

Answer: a. Here is a sketch of the triangle:

A

|\

| \

6 | \ Label: 6 units

| \

| \

|_____\

B 90° 20° C

In the sketch, the vertex with the right angle is labeled as A, the vertex with the 20° angle is labeled as B, and the remaining vertex is labeled as C. The side between angle A (90°) and angle B (20°) is labeled as 6 units.

b. Based on the given information, only one unique triangle can be drawn. The measures of the angles and the side lengths uniquely define the triangle in this case.