Any two altitudes of an equilateral triangle are congruent.
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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.
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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. :)
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