Question

Can you make a triangle with 9 in , 4 in , and 6 in

Answer 1

Yes, you can make a triangle with it

Explanation:

Given

`Lengths: 9in, 4in, 6in`

Required

Do the lengths form a valid triangle

To do this, we make use of triangle inequality theorem which states that;

For sides a, b and c;

`a + b > c`

`b + c >a`

`a + c > b`

So, we have:

`9 + 4 > 6` -- true

`4 + 6 > 9` -- true

`6 + 9 > 4` -- true

Since all the inequalities are true, then the sides form a valid triangle