Question

Given two angles that measure 50 degrees and 80 degrees and a side that measures 4 feet, how many triangles, if any, can be constructed?

Answer 1

Answer:

Only one triangle.

Step-by-step explanation:

Given that in a triangle one side measures 4 feet.

Two angles of the triangle are 50 and 80 degrees

Since sum of angles is 180 degrees, we have the third angle = 50 degrees.

When three angles are fixed as 50,80 and 50 and one side =4, there can be only one triangle.

So answer is only one triangle can be constructed.

Answer 2

Since we have the triangle, but don't know which side 4 is on, we have one where x is opposite a 50 degree angle (they are the same if across either 50 degree side) and another across the 80 degree one. In addition, it's really ratios and sin/cos/tan from there!