# Write True or False. Give reasons for your answer:            A triangle ABC can be constructed in which $\angle B =60^{\circ}, \angle C=45^{\circ}$ and AB + BC + AC = 12 cm.

Given :$\angle B =60^{\circ}, \angle C=45^{\circ}$ ,  AB + BC + AC = 12 cm.

We know that the sum of interior angles of a triangle is $180^{\circ}$

$\angle B +\angle C=60^{\circ}+45^{\circ}=105^{\circ}$

$105^{\circ}<180^{\circ}$

Sum of two angles is less than $180^{\circ}$

Also, sum of all the sides is given as 12 cm, which does not contradict any property of a triangle.

Hence this type of triangle can be constructed.

Therefore the given statement is True.

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