The sum of the lengths of the sides of a triangle is always greater than the length of the third side. Therefore, the length of each side cannot be greater than half the perimeter of the triangle.
Given n = 37 cm, l = 12 cm, and m is the length of the third side:
m < (n + l) / 2
m < (37 + 12) / 2
m < 49 / 2
m < 24.5 cm
Therefore, the length of m cannot be more than 24.5 cm.
Among the given options, the closest number to 24.5 cm is 24 cm or 33 cm (if we consider rounded whole numbers).
So, the correct answer is A. 33 cm.
If n = 37 cm and l = 12 cm, what is the length of m?
A. 33 cm
B. 39 cm
C. 35 cm
D. 34 cm
1 answer