#How do I prove triangle BDM congruent to DFM and DCN congruent to DFN?

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oblique valve
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In the figure above, ABC is an equilateral triangle, BD = CD, and ∠BDC = 120. M is on AB, and N is on AC, so that ∠MDN = 60. If side length of ΔABC is 3, find the perimeter of ΔAMN.

I need to prove this using only triangle congruency theorems.

ivory coveBOT
oblique valve
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<@&286206848099549185>

oblique valve
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Anyone know how?

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<@&286206848099549185>

half echoBOT
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Pfötchen

crude remnant
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Just show that D is the center of escribed circle of MAN