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  • Write True or False. Give reasons for your answer: A triangle ABC can be constructed in which BC = 6 cm, angle C = 30° and AC – AB = 4 cm.

Write True or False. Give reasons for your answer:

A triangle ABC can be constructed in which BC = 6 cm, \angle C=60^{\circ} and AC – AB = 4 cm.

Answers (2)

Answer

            True

Solution

Given :  BC = 6 cm, \angle C=60^{\circ} and AC – AB = 4 cm.

The theorem of inequalities says that the sum of two sides of a triangle is greater than the third side.

i.e.,      BC + AB > AC

            BC > AC – AB

            Putting the given values, we have:    

            6 > 4    (True)

This type of triangle can be constructed.

Therefore the given statement is True.

                       

 

Posted by

infoexpert21

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10 ka rajlt

 

Posted by

Pavan

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