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Answer:
LM=5,MN=11,LN=16
Area of triangle=96sq.units
Step-by-step explanation:
As ∆ LOM ,∆NOM are right angled triangles
LO^2=OM^2+LM^2
LM^2=13^2-12^2
LM=√169-144
LM=√25
LM=5
ON^2=OM^2+MN^2
MN^2=15^2-12^2
MN=√225-144
MN=√121
MN=11
Therefore,
LN=MN+LM
=11+5
=16
Therefore,
Area of the triangle=1/2bh
=1/2×12×16
=96 unit square
Hope you my answer has helped you in solving
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