Question

Draw a rough sketch of two triangles such that there are 5 pairs of congruent parts but still the triangles aren't congruent.
From:NCERT Mathematics

Answer 1

Step-by-step explanation:

It is not possible.

For five parts of 2 triangles to be equal there are 2 cases

2 angles and 3 sides are equal: in this case triangles are congurent by SSS congruency

3 angles and 2 sides are equal: here SAS or ASA congurency can be used thus triangles must be congurent.

There is no other possibility. So logically it should not be possible to have 2 triangles with five parts equal but not the sixth.

Although illogically you can always curve the lines a bit so that you get slightly different side or angle for your triangle.

Answer 2

Answer:





Question



Draw a rough sketch of two triangles such that they have five pairs of congruent parts but still the triangles are not congruent.

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Solution



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Here ∠A=∠P

         ∠B=∠Q

         ∠C=∠R

         AB=PQ

         AC=QR

But BC=PR

Thus the triangles ABC,PQR have five pairs of congruent parts but stoll they are not congruent.

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