Question

An isosceles triangle has two angle measurements of 80 and 50 degrees. Could more than one triangle be drawn that fits these conditions? Explain.

Answer 1

Explanation:

In an isosceles triangle, the base angles are equal. This also means that two sides of the triangle are equal in length. Since the sum of the angles in a triangle is 180 degrees, it means that the third angle of the given triangle is

180 - (80 + 50) = 50 degrees

Therefore, the base angles of the isosceles triangle are 50 degrees each. For more triangles with these conditions to be drawn, only the lengths of the equal sides can be increased or decreased. This would in turn increase the length of the third side. Therefore, isosceles triangles of the same angles but different sizes can be drawn.