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Question

In ΔABC, If BM=CL, then ΔABC is
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A
Equilateral
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B
Isosceles
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C
Scalene
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D
Right angled
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Solution

The correct option is A Isosceles
BM and CL are the two altitudes to AC and AB respectively. Since these altitudes are equal in length therefore the corresponding bases should also be of equal length intersecting at common vertex A i.e. AB = AC.
Hence the ΔABC must be isosceles.

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