The constuction of a `Delta` ABC, given that BC = 3cm, `angleC = 60^(@)` is possible when difference of AB and AC is equal to

Options

A. `3.2`cm
B. `3.1`cm
C. 3cm
D. `2.8` cm

Answer

D

Explanation

Given, BC = 3cm and `angleC = 60^(@)`
We know that , the construction of a triangle is possible, if sum of two sides is greater than the third side of the triangle i.e.,
`AB + BC gt AC`
`rArr BC gt AC - AB`
`rArr 3 gt AC - AB`
So, if AC - AB = `2.8`cm, then construction of `DeltaABC` with given conditions is possible.