Question

7. Which three side lengths could represent a triangle.
A. 13cm,5cm,18cm
B. 19cm,5cm,6cm
C. 9cm,15cm,22cm
D. 6cm,25cm,12cm

Answer 1

What kind of triangle?

Answer 2

Any kind. It doesn't say.

Answer 3

Okay, well, it's not going to be an equilateral..so...lemmie check, one second

Answer 4

Okay.

Answer 5

you can use triangle inequality theorem

Answer 6

Right…the…2 smaller numbers added together have to be more than the third?

Answer 7

uh any sum of any 2 sides must be more that the third side

Answer 8

Okay.

Answer 9

C i hink

Answer 10

In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than length of the remaining side.

Answer 11

Thanks.

Answer 12

It's not A

Answer 13

C

Answer 14

OK

Answer 15

You can imagine two scenarios for a triangle. One where you have an angle that's almost 180 degrees and another where there's an angle that's almost 0 degrees:

So when you have nearly 180 degrees like in the top triangle you have a+b can't be smaller than c, otherwise it wouldn't connect.

If you have nearly 0 degrees, you have to have a and b almost the same.

So as a made up example, you couldn't have a triangle with sides 1, 2, and 6 because there's no way they will ever connect up. You need sides of length 1 and 2 to be larger than 6 to form a trinagle:

Answer 16

Lol thanks Kai:)

Answer 17

So is it C?

Answer 18

yeah

Answer 19

OK I believe u.