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  • Write True or False. Give reasons for your answer: A triangle ABC can be constructed in which angle B = 60°, angle C = 45° and AB + BC + AC = 12 cm.

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.

Answers (2)

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.

Posted by

infoexpert21

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True

 

Posted by

Abhinav Pandey

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