Question

How many different triangles can you make if you are given the measurement for two angles in the length of a side that is NOT shared?

Answer 1

Answer:

  One

Step-by-step explanation:

Given two angles, you know all three angles. Only one triangle will have those angle measures and the given side length.

Answer 2

Answer:

Only 1 triangle can be made from the given measurements.

Step-by-step explanation:

A triangle is a shape with three sides and three angles. It can be classified either according to its sides or by its angles.

From the given question, applying one of the theorems of triangle, we have:

          $35^{0}$ + $52^{0}$ + $x^{0}$ = $180^{0}$ (the sum of angles in a triangle)

               $85^{0}$ + $x^{0}$ = $180^{0}$

                    $x^{0}$   = $180^{0}$ -  $85^{0}$

                  $x^{0}$   = $95^{0}$

Therefore, the third angle of the triangle ought to be $95^{0}$, if the given side was shared.

But the length of a side is not shared, thus only one triangle can be made due to some restrictions regarding its sides and angles.