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Iliana 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?

AIliana cannot construct a triangle because the sum of the two smaller sides will not be greater than the third side.

BIliana cannot construct a triangle because the ruler is not long enough to connect the longer sticks.
CIliana will be able to construct a triangle because the sum of any two sides is greater than the third side.
DIliana will be able to construct a triangle because the sum of any two sides is less than the third side.

Verified Answer :

JcAlmighty

The answer is C) Iliana will be able to construct a triangle because the sum of any two sides is greater than the third side.

In the triangle, the sum of any two sides is always greater than the third side.
Let's just check out Iliana's triangle:
a = 12 in
b = 36 in
c = 39.4 in

a + b > c
12 + 36 > 39.4
48 > 39.4      

a + c > b
12 + 39.4 > 36
51.4 > 36

b + c > a
36 + 39.4 > 12
75.4 > 12

Since we showed that  the sum of any two sides is always greater than the third side, Iliana's statement is correct.

Answer:

C is the answer

Step-by-step explanation:


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