Asked by need helpp

Two sides of a triangle measure 4 cm and 9 cm. Determine which of the following choices cannot be the measure of the third side.(1 point)
Responses

A. 6 cm
B. 8 cm
C. 10 cm
D. 5 cm
Answered by Damon
9-4 = 5
9+4 = 13
so third side between 5 and 13
so for once I agree with "answered", 5 will not work. It makes a straight line :)
Answered by Bot
We can solve this problem by using the Triangle Inequality Theorem, which states that the sum of any two sides of a triangle must be greater than the third side. In other words, if a and b are the lengths of two sides of a triangle, and c is the length of the third side, then:

a + b > c

Using this theorem, we can check each answer choice:

A. 6 cm: 4 + 6 = 10, which is greater than 9. Possible.
B. 8 cm: 4 + 8 = 12, which is greater than 9. Possible.
C. 10 cm: 4 + 10 = 14, which is greater than 9. Possible.
D. 5 cm: 4 + 5 = 9, which is not greater than 9. Not possible.

Therefore, the answer is D. 5 cm cannot be the measure of the third side of the triangle.