Question

If two sides of two triangle are equal, is their third side will also be equal or no?? Plz tell me ​

Answer 1

Answer:

yes, it can be equal, but then the triangle will be an equilateral triangle, where three sides are equal. but it is not always certain that it has to be equal. it depends upon the question given..

Answer 2

Answer:

Consider two triangles △abc△abc and △def△def such that ab=deab=de and ac=dfac=df.Also area of △abc△abc is equal to area of △def△def.Now draw cmcm perpendicular to abab and fnfn perpendicular to dede.abab and dede are equal and area of triangles is also equal so cmcm should be equal to fnfn.Now △amc△amc and△dnf△dnf are congruent by right angle triangle congruence(since hypoteneous acac and dfdf are equal).therefore ∠bac∠bac is equal to ∠edf∠edf.Now in △abc△abc and △def△def by SAS both △abc△abc and △def△def are congruent so bc=efbc=ef.I don't know where i am wrong.