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The constrution of DeltaABC , given that...

The constrution of `Delta`ABC , given that BC = 6cm, `angleB=45^(@)` is not possible when difference of AB and AC is equal to

A

`6.9` cm

B

`5.2` cm

C

`5.0`cm

D

`4.0` cm

Text Solution

Verified by Experts

The correct Answer is:
A
Given . BC = 6cm and `angleB = 45^(@)`
We know that, the construction ofa triangle is not possible, if sum of two sides is less than or equal to the third side of the triangle.
i.e., `AB + BC le AC`
`rArr BC le AC - AB`
`rArr 6 le AC - AB`
So if AC-AB = `6.9`cm then construction of `DeltaABC` with given conditions is not possible.
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