Question

Two sides of a triangle measure 9 centimeters and 37 centimeters. What could be the length of the third side of the triangle? A.19 cm B.28 cm C.43 cm D.54 cm

Answer 1

The length of the third side of the triangle could be either 28 cm or 46 cm.

Step-by-step explanation:

To find the length of the third side of a triangle, we can use the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, the two sides given are 9 centimeters and 37 centimeters.

So, the length of the third side could be less than the difference between these two sides or greater than the sum of these two sides.

Therefore, the possible length of the third side of the triangle could be:

1. 37 - 9 = 28 cm
2. 37 + 9 = 46 cm

So, the correct answer is B. 28 cm.

Learn more about Triangle Sides