Question

ava argued that all equilateral triangles should be classified as isosceles acute because they have 2 congruent sides and all of their angles are less than 90°. is her argument completely correct? she is wrong, equilateral triangles are not all isosceles she is completely correct she is partially correct that all equilateral triangles are isosceles and acute, but they should be classified as equilateral equiangular specifically she is wrong, not all isosceles triangles are equilateral

Explanation:

An isosceles triangle has at least two congruent sides. An equilateral triangle has three congruent sides, so it satisfies the condition for an isosceles triangle. An acute triangle has all angles less than \(90^{\circ}\). In an equilateral triangle, each angle is \(60^{\circ}\), so it is acute. However, equilateral triangles have a more specific classification (all sides and angles equal) than just being called isosceles acute.

Answer:

She is partially correct that all equilateral triangles are isosceles and acute, but they should be classified as equilateral equiangular specifically.