In the given figure if triangle ABN= triangle ACM, show
that triangle AMN similar to triangle ABC
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as triangle ABN is congruent to triangle ACM
so we get AB= AC ......(1)
also AM=AN ......(2)
so by (1)&(2)
we get
AB/AC=AM/AN
-> AB/AM=AC/AN ......(3)
also angle BAC=angle MAN(common)(4)
from (3)&(4)
by SAS similarity criteria
triangle AMN similar to triangle ABC
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