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I need help on Similar Triangles!!?
Simpler explanation? I have one of those bad math teachers :(
4 Answers
- GandalfLv 51 decade agoFavorite Answer
http://en.wikipedia.org/wiki/Similarity_(geometry)
"Similar triangles
If triangle ABC is similar to triangle DEF, then this relation can be denoted as ABC~DEF
In order for two triangles to be similar, it is sufficient for them to have at least two angles that match. If this is true, then the third angle will also match, since the three angles of a triangle must add up to 180°.
Suppose that triangle ABC is similar to triangle DEF in such a way that the angle at vertex A is equal to the angle at vertex D, the angle at B is equal to the angle at E, and the angle at C is equal to the angle at F. Then, once this is known, it is possible to deduce proportionalities between corresponding sides of the two triangles, such as the following:
(AB)/(BC) = (DE)/(EF)
(AB)/(AC) = (DE)/(DF)
(AC)/(BC) = (DF)/(EF)
(AB)/(DE) = (BC)/(EF) = (AC)/(DF)
In summary, if two triangles are similar, all the linear objects in the two triangles are of the same ratio.
This idea extends to similar polygons with more sides. Given any two similar polygons, the corresponding sides are proportional. However, proportionality of sides is not sufficient to prove similarity for polygons beyond triangles (otherwise, for example, all rhombuses would be similar). Corresponding angles must be equal.
[edit] Angle/side similarities
A concept commonly taught in high school mathematics is that of proving the "angle" and "side" theorems, which can be used to define two triangles as similar (or indeed, congruent).
In each of these three-letter acronyms, A stands for equal angles, and S for equal sides. For example, ASA refers to corresponding angle, side, and angle that are all equal.
· AA - Angle-Angle Similarity Postulate. If two angles of a triangle are equal to two angles of another triangle, then the triangles are similar.
See also: Congruence (geometry)"
The main thing is that if two triangles have their corresponding angles
equal, then they are similar. If they are similar, then the corresponding sides will be proportionately the same:
Given: Triangles ABC and A'B'C' are similar. Then a:b:c = a':b':c' .
In other words, the ratios of the sides are the same.
- izqueerdoLv 45 years ago
contained in the get jointly you gave, certain - in reality any triangle with facets 3k, 4k and 5k is resembling the necessary (3, 4, 5) the position ok is any +ve authentic wide style. yet be careful of ways you note that - the way you've worded it skill that each and each one Pythagorean Triple triangles are similar - which they are of course not e.g. (5, 12, 13)
- 1 decade ago
well u do one 1st triangles side/and triangles side=that 1st trangles side/ y or the other way around then u cross multiply ( i hope thats ok i no it doesnt answer ur question that well)