The construction of a $∆ A B C$ in which $B C = 6 c m$ , $∠ B = 50 °$ is not possible when $(A B - A C)$ is equal to

$5.6 c m$

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$5 c m$

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$4.8 c m$

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$6 c m$

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Solution

The correct option is D
$6 c m$

Find the value of $A B - A C$
It is known that the construction of a triangle can not be possible if the difference between two sides is greater than or eqaul to the third side.
It is given that $B C = 6 c m$ .
Thus,
$A B - A C \geq B C$
This condition is only satisfied by option(d).
Hence, the correct option is (d) $6 c m$ .

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