Two sides of a triangle have lengths 6 and 17 Which expressi

Two sides of a triangle have lengths 6 and 17. Which expression describes the length of the third side?

A. at least 11 and less than 23

B. at least 11 and at most 23

C. greater than 11 and at most 23

D. greater than 11 and less than 23

Solution

If a and b are two sides of a triangle,

Then the third side c should lie between

a-b and a+b

Hence third side should be greater than 17-6=11 and less than 17+6=23

Option D

Two sides of a triangle have lengths 6 and 17. Which expression describes the length of the third side? A. at least 11 and less than 23 B. at least 11 and at mo

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