Question

a jeweler is making a triangular pendant he has two sides of lengths 23 mm and 31 mm what are the possible lengths and whole mm for the third side. A.88mm or lessB.between 9mm and 53mmC.54mm or moreD.not possible.

Answer 1

B. between 9 an 53

1) We can solve this by writing the Triangle inequality since that jewel has a triangular form.

Let's call their sides by a, b and c

a= 23

b=31

c=

The triangle inequality is presented this way:

[tex]\begin{gathered} |a-b|2) Since side c has to be greater than 8 and lesser than 54 mm, examining the options we can state that

B. between 9 an 53