can an isosceles triangle that is not equilateral have an angle that measures 60°
Accepted Solution
A:
Answer:An isosceles triangle that is not equilateral can not have an angle that measures 60°.Step-by-step explanation:An isosceles triangle that is not equilateral can not have an angle that measures 60°.
If we assume that one of the equal sides of the isosceles triangle is 60°, then another equal side will also be 60° and therefore, the third angle will automatically become (180° - 60° - 60°) = 60°.
Therefore, the triangle will become an equilateral triangle, which is not possible.
Again, if we assume that the unequal angle of the isosceles triangle is 60°, then the equal angles will also become 60° as [tex]\frac{1}{2} [180 - 60] = 60[/tex] degree.
Therefore, again the triangle will become an equilateral which is not possible. (Answer)