4. CBQ - Triangle inequality

Engineers are designing a triangular support frame for a pedestrian bridge. They have steel beams of lengths \(14 \ m\), \(18 \ m\), and \(23 \ m\).

The engineering team asks trainees to verify the feasibility of the design before fabrication.

 

(a) Identify the longest beam.

(b) Find the sum of the other two beams.

(c) Can a triangle be formed?

(d) Name the mathematical rule used.