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Sagot :
Answer:
Only three things or information about the two triangles are needed to clarify the relevance of the congruent factors of triangle. Following are the types of triangle congruency:
SSS (side, side, side)
This comes into play when both triangles have all their sides equal to each other. This is the most descisive triangle congruency.
SAS (side, angle, side)
It occurs when two sides are equal and the angle is equal and corresponding to the relative and angle .
ASA (angle, side, angle)
When only two angles and one side is congruent to the other in the given in the same order (first, angle then side then again angle).
AAS (angle, angle, side)
Same as ASA but the only difference is in the observed order.
HL (hypotenuse, leg)
Its very much like SSS since it's foundation works on Pythagoras theorem (No need to calculate though since it only uses it's concepts and ideals). Is only seen when congruency is to be found between two right angled triangles. Length of corresponding leg and height is checked. Since hypotenuse is root of sum of height squared and leg squared, then same base and height signifies same hypotenuse. So, yeah it's related to SSS.
To actally answer your question, I would say that these three components and there five different combinations provides a frame work for a triangle. Also, for a single triangle to be constructed needs at least these three components or information.
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