Question

Which set of measurements could be the side lengths of a triangle?

A. 5M, 11M, 7M
B.10 m, 4 m, 5 m
C.8 m, 4 m, 4 m
D.6 m,11 m, 5 m

Answer 1

we know that
Triangle Inequality Theorem establishes that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
so
case A. 5M, 11M, 7M
5+11 > 7----> ok
11+7 > 5 ---> ok
5+7 > 11----> ok

case B.10 m, 4 m, 5 m
5+4 > 10-----> is not ok

case C.8 m, 4 m, 4 m
4+4 > 8----> is not ok

case D.6 m,11 m, 5 m
6+5 > 11-----> is not ok

the answer is
A. 5M, 11M, 7M