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Question

The construction of ΔABC, given that BC = 6cm, B=45 is not possible when the difference between AC and AB is equal to

A
6.9cm
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B
5.2 cm
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C
5.0 cm
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D
4.0 cm
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Solution

The correct option is A 6.9cm
Given, BC = 6cm and B=45
We know that, the construction of a triangle is not possible, if sum of two sides is less than or equal to the third side of the triangle.
i.e., AB+BCAC
BCACAB
6ACAB
So, if AC – AB = 6.9cm, then construction of ΔABC with given conditions is not possible.

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