Can a triangle have sides with the given lengths? Explain.
a=8 yd, b=13 yd, c=14 yd
Choose the correct statement below.
A.Yes because the sum of the lengths of any two sides is less than the length of the third side, and this satisfies the triangle inequality theorem.
B.No because the sum of the lengths of the two shorter sides is less than the length of the third side, and this contradicts the triangle inequality theorem.
C.Yes because the sum of the lengths of any two sides is greater than the length of the third side, and this satisfies the triangle inequality theorem.
D.No because the sum of the lengths of the two shorter sides is greater than the length of the third side, and this contradicts the triangle inequality theorem.
if the sides are a<b<c then you must have
b-a < c < b+a
13-8 < 14 < 13+8
Looks like C