Question

IS it possible for a triangle to have sides with the given lengths

1. 5in., 8in., 15.,

2. 10cm, 12cm, 20cm

Answer 1

`\huge\boxed{Hello\;there!}`

Remember, in order for a triangle to be real, the sum of its two shortest sides must be greater than the longest side.

Here, we have

5 in, 8 in, 15 in.

5+8=13 in, and 13 isn't larger than 15, so it's not possible for a triangle to have sides with these lengths.

Let's try the next one:

10 cm, 12 cm, 20 cm.

10+12=22

22>20, so it
`\bold{IS}` possible to have a triangle with the given lengths.

`\huge\boxed{\mathfrak{Answer:{\boxed{\bold{1.Not\;possible..\\ 2.Possible.}}}}}}`

`\bold{I\;really\;hope\;it\;helps\;you!}`

`\rm{Enjoy\;your\;day!`

`\boxed{\sf{AmiableTeen\;here\;to\;help;)}}`

Answer 2

1. Not possible

2. Possible

Explanation:

In order to form a triangle, the two shorter sides must add up to be larger than the third side.

5 + 8 < 15

Therefore, 5, 8, and 15 are not possible side lengths of a triangle.

10 + 12 > 20

10, 12, 20, however, are possible side lengths of a triangle.