Question

If the areas of two similar triangles are equal then the triangles :

• A. are congruent
• B. have equal length of corresponding sides
• C. (A) and (B)
• D. None of these

Answer 1

Answer: (C)

(A) and (B)

Triangles are similar if they have the same shape, but not necessarily the same size. It is same as keeping its basic shape but either "zooming in" or out making the triangle bigger or smaller .
For triangles to be congruent if one triangle slides over the other , rotate them, and flip them over in various ways so they will exactly fit over each other.
So, if the triangles are similar, i.e. they are "zoomed-in" or "zoomed-out" versions of each other, and if they have equal area, then they are congruent, and hence have equal corresponding sides.