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A triangle has two sides of 8 and 15. What is the largest possible whole number length for the third side?

Respuesta :

Answer:

Largest possible value for the 3rd side can be 22.

Step-by-step explanation:

Property of sides of a triangle:

If two sides of a triangle are [tex]a[/tex] and [tex]b[/tex] long, then the length of third side [tex]c[/tex] must be:

[tex](a+b) > c[/tex]

i.e. the sum of two sides [tex]a[/tex] and [tex]b[/tex] must be greater than the third side [tex]c[/tex].

So, to find the largest possible value:

[tex]a = 8\\b= 15[/tex]

[tex]a+b=23[/tex]

Largest possible value of [tex]c[/tex] can be lesser than 23.

i.e. 22 can be the largest possible value of the third side.

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