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Question

The sides of a triangle are 11 m, 60 m and 61m. Altitude to the smallest side is


A

11 m

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B

66 m

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C

50 m

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D

60 m

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Solution

The correct option is D

60 m


Sides of a triangle are 11m, 60m and 61m
s=a+b+c2=11+60+612=1322=66
Area=s(sa)(sb)(sc)
= 66(6611)(6660)(6661)
= 66×55×6×5
= 11×6×11×5×6×5
= 11×6×5=330m2
Now length of altitude on the smallest side
= Area×2base=330×211=60m


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