For a triangle with sides a, b and c, what is the range of the length of side c?
a = 15, b = 8, c =

Question

anonymous · Answer

the sum of two sides of a traingle sholud always exceed the third side...so from that u can caluclate i suppose

saifoo.khan · Answer

Do you have a particular diagram?
which one is the longest side?

anonymous · Answer

Think about it. The angle between two of the sides get bigger and bigger, closer to 90 degrees, it starts to become a straight line. If a and b make a straight line, c, connecting the open ends, is 15 + 8. It can't actually be a straight line though, so it's less than 15 + 8.

anonymous · Answer

thats all they gives me.

anonymous · Answer

|dw:1317388194517:dw|

anonymous · Answer

so if 15 is the large side, then thride side should be more than 7, or if the third side is large side, then it should not be more than 23. So range is from 7 to 23 based on the large side

anonymous · Answer

If you go the opposite way, making the angle between the two known sides closer to zero, you'll find the smallest it can be is 15 - 8.

amistre64 · Answer

if 15 is one of the short sides; then the largest you can get is 15+8
if 15 is the longest side then the shortest you can go is 15-8 = 7

across · Answer

"Note that the range is open. That is,$$(7,23).$$If it were to be closed,$$[7,23],$$then the triangle would be a line at the boundaries."