When triangles are similar, ratio of corresponding sides is equal.

[eightsquare]

"When triangles are similar, ratio of corresponding sides is equal."

"When triangles are similar, ratio of corresponding sides is equal."

I was wondering if there is any theoretical proof for this statement or is it only experimental?

 

[1MileCrash]

It's definition..

 

[coolul007]

The definition of similar triangles is the three corresponding angles have the same measure. The ratio of the sides being equal can be proven by drawing a line parallel to the base of a triangle(creating 2 similar triangles sharing one angle), and showing that the sides are proportional and the angles are the same via the parallel postulate.

 

[SteamKing]

"When triangles are similar, ratio of corresponding sides is equal."

I was wondering if there is any theoretical proof for this statement or is it only experimental?

Haven't you taken Experimental Geometry yet?

 

[mathman]

The definition of similar triangles is the three corresponding angles have the same measure. The ratio of the sides being equal can be proven by drawing a line parallel to the base of a triangle(creating 2 similar triangles sharing one angle), and showing that the sides are proportional and the angles are the same via the parallel postulate.

You can also use the law of sines.