Question

Any two altitudes of an equilateral triangle are congruent.​

Answer 1

Answer:

If two altitudes of a triangle are congruent, then the triangle is isosceles. Prove: ABC is isosceles. The medians of a triangle are congruent if the triangle is equilateral. The medians of a triangle are congruent if the triangle is equilateral.

Answer 2

Answer:

Given,

2 altitudes

Triangle is equilateral

To prove :- ABC and PRQ are congruent

Prove :- Ab = bc = ca

Angle a = angle B = angle c

BC = CB (common)

Therefore triangles are congruent. :)