Question

muna claims that she can construct a triangle from a 12 - inch rod, a 36 - inch rod, and a 39.4 - inch rod. which statement explains whether she is correct? muna cannot construct a triangle because the sum of the two smaller sides will not be greater than the third side. muna will be able to construct a triangle because the sum of any two sides is greater than the third side. muna will be able to construct a triangle because the sum of any two sides is less than the third side.

Explanation:

Step1: Identify the two smaller sides

The two smaller sides are 12 - inch and 36 - inch.

Step2: Calculate the sum of the two smaller sides

$12 + 36=48$ inches.

Step3: Compare with the third side

The third side is 39.4 inches. Since $48>39.4$, and we also need to check other combinations: $12 + 39.4 = 51.4>36$ and $36+39.4 = 75.4>12$. The sum of any two sides is greater than the third side.

Answer:

Liana will be able to construct a triangle because the sum of any two sides is greater than the third side.