In this video we will discuss some questions on areas of Similar Triangles, the concept of the basic proportionality theorem(BPT) or Thales theorem ,Mid -Point Theorem asked in SSC Examinations in previous years.
Ratio of areas of similar triangles is proportional to square of corresponding sides.
Basic proportionality Theorem or Thales theorem :- If a line is drawn parallel to one side of a triangle intersecting the other two sides, then it divides the two sides in the same ratio.
• The ratio of the areas of two similar triangles is equal to the square of the ratio of their
corresponding sides.
Results on BPT Theorem :-
Mid Point Theorem :- The line joining the midpoint of two sides of a triangle is parallel and equal to half of third side..
• Two figures having the same shape but not necessarily the same size are called similar figures.
• All the congruent figures are similar but the converse is not true.
Following are the criteria for the triangles to be similar
• If in two triangles, corresponding angles are equal, then their corresponding sides are in
the same ratio and hence the two triangles are similar (AAA similarity criterion).
• If in two triangles, two angles of one triangle are respectively equal to the two angles of
the other triangle, then the two triangles are similar (AA similarity criterion).
• If in two triangles, corresponding sides are in the same ratio, then their corresponding
angles are equal and hence the triangles are similar (SSS similarity criterion).
• If one angle of a triangle is equal to one angle of another triangle and the sides including
these angles are in the same ratio (proportional), then the triangles are similar (SAS similarity)
1-2 questions asked in the examinations like SSC CGL T-I and T-II, SSC CHSL (DEO) LDC, CAPF , SSC CPO S.I Exam , FCI Assistant Grade –III ,SSC CISF ASI, SSC Constable, Delhi Police, SSC multi Tasking Staff examination ,SSC Data Entry Operator Exam , SSC Section Officer (Commercial Audit ), IBPS P.O exam, SBI P.O,LIC AAO, GIC AAO , IB Exam, RBI Grade –B, IBPS Cleark , SBI Cleark, CLAT Exam , Railways,RRB Technical( LOCO) and Non technical exam, CTAT , DASS and other objective examination.
Following are some useful links :-
Youtube link ;
Playlist of youtube videos link for quick access :-
Mixture and alligation
Pipe and cistern
Time and Work
Vedic Maths
Profit and Loss
Ratio & Proportion
Time and distance;
Boat and Stream
Previous years questions
SI and CI
Race and Games
Indices and Surds
Trains Concept
Channel being conceptualize by Amit Arun himself faculty of Maths in Delhi and an M.B.A graduate cracked several banking P.O examination including S.B.I
Salient features of EducomiQ ;
• Each topics has been covered with typewise questions and answers.
• Basic Concepts discussed in details.
• Keeping in mind the vast majority of students from non math background.
• After concept clearity tricks have been discussed for every questions.
I hope this channel will really be Partner in your success and strive to help you prepare for the challenges of objective online and offline examination.
Thanks for watching
Amit Arun


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