Question

A triangle which is impossible to construct has its sides measuring :

(a) 3,4,5 cm

(b) 7,8,9 cm

(c) 4,6,10 cm

(d) 10,18,12 cm​

Answer 1

Answer:

(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

Answer 2

Answer:

For forming a triangle sum of any two sides must be greater than the third side.

In option C

4cm+6cm=10cm

which is equal to the third side.

So a triangle can not be formed.

Option C is correct.