How many acute angles can an isosceles triangle have?

Question

Sadie Adams · Accepted Answer

An acute angle is less than #90^o# An equilateral triangle is also isosceles and has 3 equal acute angles (#60^o# each). hope that helped

Noah Atkinson · Answer

undefined An isosceles triangle can have a maximum of two acute angles. This occurs when two sides of the triangle are equal in length, meaning that the angles opposite those sides are also equal. The third angle, which is opposite the unequal side, can vary in measure. If the two equal sides are shorter than the unequal side, then all angles will be acute. However, if the unequal side is shorter than the equal sides, then the triangle will have one acute angle and two obtuse angles.

Ella Armstrong · Answer

undefined An isosceles triangle can have at most one acute angle. This occurs when the two congruent sides of the triangle are shorter than the base. In this case, the angle opposite the base, which is the third angle of the triangle, will be acute. If the two congruent sides were longer than the base, it would form an obtuse angle at the apex of the triangle, and if they were equal in length to the base, it would form a right angle. Therefore, in an isosceles triangle, the number of acute angles can be at most one.