MHB Solve Proving 2 Triangles Cong. w/ Diam & Eq. Triangle (2-Col Proof)

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To solve the problem of proving two triangles congruent with a diameter and an equilateral triangle, it's essential to start by identifying the given elements. The discussion highlights that if two arcs are congruent, the angles subtending those arcs must also be equal. Additionally, if all three arcs are of equal length, it indicates that the triangle formed is equilateral. The presence of a bisector is suggested as a key component in establishing congruence. Understanding these relationships is crucial for completing the proof.
srk
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Not sure how to solve considering nothing is given as perpendicular or bisected.
Is anyone aware on how to solve this problem?

~S.R.K.
 

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Well, to start with list what is given, then look at similar components
 
I think you will see that KH is a bisector and that will all angles equal and the sides equal
 
Last edited:
If two arcs are congruent, what must be true about the angles that subtend the arcs?
 
srk said:
Not sure how to solve considering nothing is given as perpendicular or bisected.
Is anyone aware on how to solve this problem?

If all three arcs have the same length, then the triangle is equilateral.
 

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