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A triangle has two sides of length 6 and 1. What is the largest possible whole-number length
for the third side?

Respuesta :

MrRoyal

Answer:

Largest possible number is 6

Step-by-step explanation:

Given

Let the sides be a, b and c

[tex]a = 6[/tex]

[tex]b = 1[/tex]

Required

Determine the maximum value of c

The relationship between sides of a triangle is that:

[tex]c < a + b[/tex]

Substitute values for a and b

[tex]c < 6 + 1[/tex]

[tex]c < 7[/tex]

Assume the sides are integer. If c < 7 is a solution, then the maximum of c is 6.

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