Write True or False. Give reasons for your answer:

            A triangle ABC can be constructed in which \angle B = 105^{\circ}, \angle C = 90^{\circ} and AB + BC + AC = 10 cm.

Answers (1)

Answer

            False

Solution

            Given : \angle B = 105^{\circ}, \angle C = 90^{\circ} , AB + BC + AC = 10 cm.

            We know that the sum of interior angles of a triangle is 180°.

            But here \angle B+\angle C= 105^{\circ}+90^{\circ}=195^{\circ}

            The sum of two angles is greater than 195^{\circ} which is not possible.

Hence, this type of triangle can’t be constructed.

Therefore the given statement is False.

 

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