anonymous
  • 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
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
anonymous
  • anonymous
Compassionate
  • 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
  • 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
  • anonymous
ok then hold on ..
anonymous
  • anonymous
would it be D.?
anonymous
  • anonymous
Compassionate
  • Compassionate
9^2 + 8^2 = 16^2 145 = 256 No. That's not it.
anonymous
  • anonymous
what is ^ lol
anonymous
  • anonymous
anonymous
  • anonymous
its A right? @Compassionate
anonymous
  • anonymous
nvm i mean B not A
Compassionate
  • Compassionate
a + b > c So your two sides, added together, must be greater than c.
Compassionate
  • 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
  • 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
  • Compassionate
I wanted to see if you were paying attention or just going along with what I was saying
anonymous
  • anonymous
oh ok
xcharlizea
  • xcharlizea
add all three niumbers and see if any adds up to 180 then that woud be your answer
anonymous
  • anonymous
well then thank you!!!
Compassionate
  • 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
  • xcharlizea
@Compassionate oo right thats what i meant lol

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