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The sides of ΔABC are a, b, and c. If the lengths of a = 7 and b = 10, what are the possible lengths of c? Question 1 options: A) 7 < c < 10 B) 3 < c < 10 C) 3 < c < 6 D) 3 < c < 17

Respuesta :

The sum of measures of two sides of a triangle is greater than the third side.

Now

[tex]\\ \sf{:}\implies a+b>c[/tex]

[tex]\\ \sf{:}\implies c<7+10[/tex]

[tex]\\ \sf{:}\implies c<17[/tex]

But c will greater than 10-7=3

Hence

[tex]\\ \sf{:}\implies 3<c<17[/tex]

Option D

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