Respuesta :
If two sides of one triangle are proportional to two sides of another and included angles are equal, then the triangles are always similar.
What is triangle ?
Triangle is a two dimensional shape having three side and sum of all angles is equals to .
We have,
Two Triangles with equal angles and two sides one triangle are proportional with sides of other triangle.
Now,
According to the theorems of Similarity ,
Two triangles are similar if:
- Their corresponding angles are equal.
- Their corresponding sides are in ratio.
i.e.
In two triangles, two angles of one triangle are equal to the two angles of the other triangle respectively , then the two triangles are similar.
And,
In two triangles, if corresponding angles are equal, then their corresponding sides are in the same ratio so the two triangles are similar.
Hence, we can say that If two sides of one triangle are proportional to two sides of another and included angles are equal, then the triangles are always similar.
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