16. TBQ - Analyse the situation and interpret

During a geometry class, Ria’s teacher was demonstrating the formation of a triangle using its three sides.

 

She says "When the two circles are drawn on the line segment having its end points as centres and radii equal to the other two sides, then the point of intersection of these circles determines the third vertex of a traingle having this line segment as a base."

 

Using this concept, she instructs the student to construct a triangle with sidelengths \(3 \ cm\), \(3 \ cm\), and \(7 \ cm\).

 

 

 

The concept used to construct a triangle is truefalse.

 

When the two circles are drawn on the line segment \(AB = 7 \ cm\), having its end points \(A\) and \(B\) as centres and radii equal to \(3 \ cm\) and \(3 \ cm\) respectively, do the circles intersect? NoYes

 

Reason: the sum any two side lengths of the triangle should always be greater than the third sidethe sum any two side lengths of the triangle should always be lesser than the third side

 

Therefore, we can formwe cannot form a triangle with sidelengths \(3 \ cm \), \(3 \ cm\), and \(7 \ cm\)