Maximum of a Side

Geometry Level 2

5 4 3.5 4.5

Kumar Gupta by Kumar Gupta , 23, India

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1 solution

Arjun Mehra
Mar 4, 2014

use sine rule: 2/sin30 i.e. 4=l/sinx. this implies that l=4sinx, where maximum value of sinx=1. Thus, the maximum value of l=4.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

given 

       < O = 30

        AB= 2

find: OB

so i used this formula: tan A = y / x

substitute: 

                              tan<O =AB /  OB

                              tan 30 = 2/ OB

                              OB = 2 / tan 30

                               OB = 3.4641

so i came up with an answer of 3.5...

but the correct answer is 4...

Gladys Estañol - 7 years, 2 months ago

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