Question

Can an isosceles triangle that is not equilateral have an angle that measures 60°

Answer 1

An isosceles triangle that is not equilateral can not have an angle that measures 60°.

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
`(1)/(2) [180 - 60] = 60` degree.

Therefore, again the triangle will become an equilateral which is not possible. (Answer)