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.