Question

When are the two triangles said to be similar ?

Answer 1

Two triangles are similar if they have:

all their angles equalcorresponding sides are in the same ratio

But we don't need to know all three sides and all three angles ...two or three out of the six is usually enough.

There are three ways to find if two triangles are similar: AA, SAS and SSS:

AA

AA stands for "angle, angle" and means that the triangles have two of their angles equal.

If two triangles have two of their angles equal, the triangles are similar.

So AA could also be called AAA (because when two angles are equal, all three angles must be equal).

SAS

SAS stands for "side, angle, side" and means that we have two triangles where:

the ratio between two sides is the same as the ratio between another two sidesand we we also know the included angles are equal.

If two triangles have two pairs of sides in the same ratio and the included angles are also equal, then the triangles are similar.


So there is enough information to tell us that the two triangles are similar.
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