Measuring the angles as well as length of all three sides helps in proving similarities of triangles.
Two triangles will be considered similar if they have similar angles at all the three sides or vertices of two triangles. The similar angle between them can make similar sides of both triangle.
Two triangles should be considered similar if both have same angles at each side as well as similar length of each side so we can conclude that checking the angles as well as length of all three sides helps in proving similarities of triangles.
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