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► 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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How are congruent triangles used in real life?
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.
Why are triangles used in the construction of bridges?
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.
Why do architects use triangles?
Architects use triangles as part of their work in designing buildings. And finding the pygratheim therom and stuff.
How can you use SSS with CPCTC?
You can prove that to triangles are congruent with SSS, then use CPCTC to prove that two corresponding angles of those triangles are congruent.
How many triangles can be made from five points?
The geometric shape formed by connecting the perimeter of five points is a pentagon. Its basic construction is that of three triangles with one triangle in the middle sharing two of its sides with a base line of the other two triangles. The maximum number of triangles that can be created, if you count only those triangles that are formed by line segments between each of the five points, are ten (10).
