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 \(3 \ cm \), \(4 \ cm\), and \(8 \ cm\).
What is happening? Are you able to construct the triangle?
Interpretation:
The concept used to construct a triangle is .
When the two circles are drawn on the line segment \(AB = 8 \ cm\), having its end points \(A\) and \(B\) as centres and radii equal to \(3 \ cm\) and \(4 \ cm\) respectively, do the circles intersect?
Reason:
Therefore, a triangle with sidelengths \(3 \ cm \), \(4 \ cm\), and \(8 \ cm\)