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Question

Which of the following best describes the triangle with sides 2, 3 and 11?

A
Right angled
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B
Acute
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C
Obtuse
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D
Does not exist
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Solution

The correct option is D Does not exist
In any triangle,Sum of any two sides > Third side.
But in the given case, where a, b and c are the sides of the given triangle,

a+b = 2 + 3 = 5
c = 11
so,a + b < c
Therefore, the triangle does not exist

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