Question

Can the sides of a triangle have lengths 46, 50, and 15?

Answer 1

A triangle can be made if and only if the sum of two every sides is greater than or equal to the third side.

That is if `a,b,c` are the three sides then
`a+b>c`
`b+c>a`
`c+a>b`

Let us verify these with the given lengths.

The given lengths are `46,50,15`.

Let `a=46,b=50,c=15`

`a+b=46+50=96>c`
`b+c=50+15=65>a`
`c+a=15+46=61>b`

Since the condition for the triangle is verified therefore a triangle can be made with the given lengths.