Question

Which three lengths could be the lengths of the sides of a triangle?

a.22 cm, 5 cm, 10 cm
b.11 cm, 6 cm, 17 cm
c.8 cm, 15 cm, 22 cm
d.6 cm, 22 cm, 10 cm

Answer 1

i am assuming the answer could be C

Answer 2

Answer: c. 8 cm, 15 cm, 22 cm

Explanation:

• The triangle inequality says that for any triangle, the sum of the lengths of any two sides must be greater than to the length of the remaining side.

a. 22 cm, 5 cm, 10 cm

Here
`5+10<22`

Thus these can not be the lengths of the sides of a triangle.

b. 11 cm, 6 cm, 17 cm

Here
`6+11=17`

Thus these can not be the lengths of the sides of a triangle.

c. 8 cm, 15 cm, 22 cm

Here,
`8+15>22`

`22+15>8\\22+8>15`

Thus these three lengths can be the lengths of the sides of a triangle.

d. 6 cm, 22 cm, 10 cm

`6+10<22`

Thus these can not be the lengths of the sides of a triangle.