NIMCET 2015 Question Paper with solutions

Question : 26 of 120

Marks: +1, -0

If the angles of a triangle are in the ratio 2 : 3 : 7, thenthe ratio of the sides opposite to these angles is;

Solution:

Angles of a triangle are in the ratio 2 : 3 : 7

∴2x+3x+7x=180°

⇒x=15°

Since, angles of triangle are 30°, 45°, 105°

∴a/{\sin30°}=b/{\sin45°}=c/{\sin105°}

⇒a/{1{/}2}=b/{1{/√2}}=c/{{√3+1}/{2√2}}

∴a:b:c=√2:2:√3+1

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