Question

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

Answer 1

I'LL GIVE A MEDAL WHOEVER ANSWERS IT CORRECTLY!

Answer 2

Use the pythagorean theorem!

Answer 3

so what would i do?

Answer 4

Did the question say it was a right triangle?

Answer 5

no

Answer 6

Then there is no way of figuring this out.

Answer 7

it is a right angle

Answer 8

@steve816

Answer 9

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.

Answer 10

no its just a regular triangle

Answer 11

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

Answer 12

normal 3 sided triangle

Answer 13

Okay so is this the entire question?

Answer 14

yup

Answer 15

@200205650

Answer 16

@marigirl

Answer 17

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?

Answer 18

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