Whether it is possible to draw a triangle with thevgiven side lengths a. 3, 4, 5 b, 1, 7, 8 c, 3, 5, 9
Answers
(i) No. It is not possible to construct a triangle with lengths of its sides 5 cm,4 cm and 9 cm because the sum of two sides is not greater than the third side i.e. 5+4 is not greater than 9.
(ii) Yes. It is possible to construct a triangle with lengths of its sides 8 cm,7 cm and 4 cm because the sum of two sides of a triangle is greater than the third side.
(iii) Yes. It is possible to construct a triangle with lengths of its sides 10 cm,5 cm and 6 cm because the sum of two sides of a triangle is greater than the third side.
(iv) Yes. It is possible to construct a triangle with lengths of its sides 2.5 cm,5 cm and 7 cm because the sum of two sides of a triangle is greater than the third side.
(v) No. It is not possible to construct a triangle with lengths of its sides 3 cm,4 cm and 8 cm because the sum of two sides is not greater than the third side.