If the areas of two similar triangles are equal, then they are

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

Equilateral triangles

Isosceles triangles

Congruent triangles

Non- congruent triangles

answer is C.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Concept: We are given that the areas of two similar triangles are equal, and we have to find the type of triangle. Area of two triangles are the same, meaning all sides and angles of both the triangles should be the same. Also, similarity means the same side but congruent means the same side and angles both.
Equilateral triangles – It is possible that angles of two equilateral triangles can be the same, but their sides may vary.
Isosceles triangles – Their measurements of sides may vary because it is not particular that they will be of same length.
Congruent triangles – A pair of triangles can only be congruent if their sides and angles both are equal.
Non- congruent triangles – If the triangles are not congruent, they will not follow the properties of similarity also. It implies that, area will differ.
Therefore, congruent triangles are the pair of triangles whose areas are the same.
Hence, the correct answer is option 3) congruent triangles

Watch 3-min video & get full concept clarity