If two triangle are obviously similar since the angles are the same... and they are the same shape but not the same size can the trinagle you are trying to see if it is similar can the triangle have any length of sides except for the fact that a and b have to be = to more than c??
2006-12-16 08:20:41 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
no, for two triangles to be similar, their angles have to be congruent and their sides have to be proportional. For example, one triangle could have the sides as 3, 4, and 6. A similar triangle might be 6, 8, and 12. (Do you see how the sides are proportional?) The triangle with length 6, 8, and 11 would NOT be similar.
2006-12-16 08:25:29 · answer #1 · answered by teekshi33 4 · 0⤊ 0⤋
In order for two triangles to be similar their angles must be congruent and their corresponding sides must be proportional. There are a few ways to show this (AA, SAS, ASA and SSS: I'm not going to explain this here), but one triangle can be very small and the other very large.
The last part of your question seems to be dealing with the triangle inequality, which states that within one triangle (similarity compares two triangles) the sum of any two sides must be more than the third.
2006-12-16 16:33:29 · answer #2 · answered by operalph 4 · 0⤊ 0⤋
Similarity occurs when two triangles have their angles equal to each other. If two triangles are similar then their sides are proportional. If you are asking if the corresponding sides of two triangles are proportional are the two triangles similar, the answer is yes.
2006-12-16 16:35:05 · answer #3 · answered by ironduke8159 7 · 0⤊ 0⤋
They can be any Length. You will find that all sides have the same proportion
2006-12-16 16:32:09 · answer #4 · answered by Renaud 3 · 0⤊ 0⤋