Can the sides of a triangle have lengths 1, 2, and 8?

Question

3282 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-05T03:06:37

The simple answer is no.

In a triangle , the sum of any two sides is greater than the third side.

Let's try the three possible ways

#1) 1+8>2#

#=> 9>2#

It's correct.

#2) 2+8>1#

#=> 10>1#

It's also correct.

#3)1 + 2 > 8#

#=>3>8#

But it is not correct.

This is not possible because the length of third side is greater than the sum of length of other two sides.

Thus , such a triangle is not possible.