► Because it remains rigid. there is only one way to connect 3 lines into a triangle (think about beams and connectors). the structural strength comes from the beams and the connectors. the strength of the connectors is needed to keep the beams together, but the real strength comes from the beams. as long as they don't stretch/shrink, the triangle will be stable.
for a rectangle, the same beams/connectors could be used for a parallelogram. all of the structural strength would have to be in the connectors. if the beams are allowed to pivot at the corners, you will loose the structure
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Congruent triangles are used in real life in various fields such as architecture, engineering, and design. In architecture, congruent triangles are used to ensure stability and balance in structures. In engineering, they are used to calculate forces and angles in different structures. In design, congruent triangles are used to create symmetrical and aesthetically pleasing patterns. Overall, understanding congruent triangles is crucial for ensuring accuracy and precision in real-life applications.
Triangles are used in structures because a triangle is a very stable shape that cannot be stretched or squashed easily - unlike rectangles which can easily become parallelograms.
Architects use triangles as part of their work in designing buildings. And finding the pygratheim therom and stuff.
You can prove that to triangles are congruent with SSS, then use CPCTC to prove that two corresponding angles of those triangles are congruent.
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