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Is it possible to have a …

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Is it possible to have a triangle with the following sides? (¡)3cm,4cm and 5cm. (¡¡)6cm,6cm and 6cm. (¡¡¡)4cm,4cm and 8cm. (¡v)3cm,5cm and 7cm.
  • 1 answers

Yogita Ingle 4 years, 11 months ago

(i) Yes. It is possible to construct a triangle with lengths of its sides 8cm, 7cm and 4cm because the sum of two sides of a triangle is greater than the third side.

(ii) Yes. It is possible to construct a triangle with lengths of its sides 6cm, 6cm and 6cm because the sum of two sides of a triangle is greater than the third side.

(iii) No. It is not possible to construct a triangle with lengths of its sides 4cm, 4cm and 8cm because the sum of two sides is not greater than the third side i.e. 4 + 4 is not greater than 8.

(iv) Yes. It is possible to construct a triangle with lengths of its sides 3cm, 5cm and 7cm because the sum of two sides of a triangle is greater than the third side.

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