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

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Answer 1 · 2016-01-22T19:33:22

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.