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- anonymous

The lengths of two sides of a triangle are 12 inches and 4 inches. Which of the following dimensions is the third side of this triangle?
9 inches
8 inches
7 inches
6 inches

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- anonymous

- schrodinger

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- anonymous

I'LL GIVE A MEDAL WHOEVER ANSWERS IT CORRECTLY!

- steve816

Use the pythagorean theorem!

- anonymous

so what would i do?

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- steve816

Did the question say it was a right triangle?

- anonymous

no

- steve816

Then there is no way of figuring this out.

- anonymous

it is a right angle

- anonymous

- steve816

Oh okay then, did the question say if the 2 sides were the legs or the hypotenuse. This information is needed to solve the problem.

- anonymous

no its just a regular triangle

- steve816

What type of triangle??? Isocolese, scalene, or right triangle

- anonymous

normal 3 sided triangle

- steve816

Okay so is this the entire question?

- anonymous

yup

- anonymous

- anonymous

- Vocaloid

we know that 2 sides are 4 and 12, and the sum of any two sides must be greater than the third side
so
third side + 4 > 12
third side > 8
that leaves us with one answer choice, which one is it?

- jim_thompson5910

let x be the third side (some unknown number)
x has to be larger than 12-4 = 8
AND
x has to be smaller than 12+4 = 16
so x is between 8 and 16 excluding both endpoints
algebraically 8 < x < 16 has to be true for a triangle to form

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