Question

Gabriel finds some wooden boards in the backyard with lengths of 5 feet, 2.5 feet and 4 feet. He decides he wants to make a triangular garden in the yard and uses the triangle inequality rule to see if it will work. Which sums prove that the boards will create a triangular outline for the garden? Select all that apply. 5 + 2.5 > 4 5 + 2.5 < 4 4 + 2.5 > 5 4 + 2.5 < 5 4 + 5 > 2.5

Answer 1

Answer:

1)5 + 2.5 > 4

3)4 + 2.5 > 5

5)4 + 5 > 2.5

Step-by-step explanation:

I got this question in edge

Answer 2

The triangular inequality for these dimensions are:

• 5ft + 2.5ft > 4ft  (true)
• 5ft + 4ft > 2.5 ft  (true)
• 2.5ft + 4ft > 5ft  (true)

Which sums prove that the boards will create a triangular outline?

For a triangle with sides A, B, and C, the triangular inequality says that:

• A + B > C
• A + C > B
• B + C > A

In this case, we know that the pieces of wood measure:

5ft

2.5ft

4ft

The triangular inequality for these dimensions is:

• 5ft + 2.5ft > 4ft  (true)
• 5ft + 4ft > 2.5 ft  (true)
• 2.5ft + 4ft > 5ft  (true)

So the 3 inequalities are true, meaning that we can make a triangle with these dimensions.

If you want to learn more about triangles:

https://brainly.com/question/2217700

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