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?

Iliana cannot construct a triangle because the sum of the two smaller sides will not be greater than the third side.
Iliana cannot construct a triangle because the sum of the two smaller sides will be greater than the third side.
Iliana will be able to construct a triangle because the sum of any two sides is greater than the third side.
Iliana will be able to construct a triangle because the sum of any two sides is less than the third side.

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clapperamira77 clapperamira77 · Answer 1 · 2021-01-07T22:06:52+01:00

Answer:

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

Step-by-step explanation:

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MrRoyal MrRoyal · Answer 2 · 2022-07-05T13:09:09+02:00

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

The sides of the triangle are given as:

12, 36 and 39.4 inches

According to the triangle inequality theorem, the following must be true

x + y >= z

Where z is the longest side.

This means that:

12 + 36 >= 39.4

Evaluate the sum

48 >= 39.4

The above inequality is true

Hence, the true statement is (c)

Read more about triangle inequality theorem at:

https://brainly.com/question/9165828

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