Mathematics
In the figure, sides MN, NL and LM of ΔLMN touch a circle at the points A, B and C respectively. If AN = 5 cm, CL = 4 cm and CM = 6 cm, then the perimeter of ΔLMN is :
30 cm
45 cm
60 cm
15 cm
Answer
Tangents drawn from the same external point to a circle are equal.
From M,
MA = CM = 6 cm
From N,
NA = NB = 5 cm
From L,
LB = LC = 4 cm
MN = MA + AN = 6 + 5 = 11
NL = NB + BL = 5 + 4 = 9
LM = LC + CM = 4 + 6 = 10
Perimeter of ΔLMN = MN + LN + LM
= 11 + 9 + 10
= 30 cm.
Hence, option 1 is the correct option.
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