Question

triangle abc has side lengths that are all integers if two of the sides are 7 and 11 how many possible value are there for the third side length?

Answer 1

By the triangle inequality, the third side, s is such that
11-7<s<11+7
or
4<s<18.
Can you figure out the possible lengths?

Answer 2

thx

Answer 3

yw!

Answer 4

but

Answer 5

i got 16

Answer 6

can 7 and 11 repeat

Answer 7

They can repeat, but s cannot equal 4 nor 18, because otherwise the triangle will be degenerate (0-180-0)

Answer 8

16 is not the right answer.

Answer 9

i think is 14

Answer 10

Count from 5 to 17, how many numbers are there.

Answer 11

13

Answer 12

Correct!

Answer 13

thank you for correcting me

Answer 14

yw!