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PLEASE HELP 50 POINTS AND WILL MARK BRAINLEST

If you were constructing a TRIANGULAR FRAME, and you had wood in the length of 4inches, 4 inches, and 7 inches, would it make a triangle? Would you be able to create a frame from these pieces of wood?

Yes or No? =

Explain your mathematical thinking:




Respuesta :

sqdancefan

Answer:

  • Yes
  • see below for an explanation

Step-by-step explanation:

In order for three line segments to form a triangle with non-zero area, they must satisfy the "triangle inequality." There are several ways to express this, but perhaps the simplest is ...

  a + b > c

where a, b, and c are the lengths of sides in order from shortest to longest.

Here, that means the requirement for a triangle is ...

  4 + 4 > 7 . . . .  true, so a triangle can be formed

The triangle inequality is satisfied by these segment lengths.

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