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- anonymous

Which of the following possibilities will form a triangle?
Side = 15 cm, side = 6 cm, side = 8 cm
Side = 15 cm, side = 6 cm, side = 9 cm
Side = 16 cm, side = 9 cm, side = 6 cm
Side = 16 cm, side = 9 cm, side = 8 cm

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- anonymous

- schrodinger

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- anonymous

- anonymous

- Compassionate

The two smaller sides need to make up the larger side when squared. The formula x^2 + b^2 = c^2 shows this. Plug in your known values and see if its true. If a and b = c, then yes, it forms a triangle.

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- anonymous

For triangles, the shortest 2 sides must add up and be longer than the 3rd side.
For each option add the shortest two sides and compare it to the longest side.

- anonymous

ok then hold on ..

- anonymous

would it be D.?

- anonymous

- Compassionate

9^2 + 8^2 = 16^2
145 = 256
No. That's not it.

- anonymous

what is ^ lol

- anonymous

- anonymous

its A right? @Compassionate

- anonymous

nvm i mean B not A

- Compassionate

a + b > c
So your two sides, added together, must be greater than c.

- Compassionate

Side = 16 cm, side = 9 cm, side = 8 cm
16 + 9 > 8
9 + 8 > 16
8 + 16 > 9
Therefore, your answer comes out to D. Understand?

- Compassionate

I was trying to poke around and see if you'd understand. Basically, if all points given are greater than c, then it can form a triangle.

- Compassionate

I wanted to see if you were paying attention or just going along with what I was saying

- anonymous

oh ok

- xcharlizea

add all three niumbers and see if any adds up to 180 then that woud be your answer

- anonymous

well then thank you!!!

- Compassionate

@xcharlizea , that's wrong.
The formula is, you take the three points, and if a + b > c, then it forms a triangle, but you have to do this for every possible arrangement.
So, if you had the points, 1cm, 2cm, 3cm
1cm + 2cm > 3cm (true)
2cm + 3cm > 1cm (true)
3cm + 1cm > 2cm (true)
So the points 1cm, 2cm, 3cm will form a triangle.

- xcharlizea

@Compassionate oo right thats what i meant lol

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