Question

Which measurement is a possible side length for a triangle with two sides measuring 9 cm and 4 cm?

5 cm

6 cm

3 cm

4 cm

Answer 1

It depends on the angle between the sides that are 9cm and 4cm, or if the triangle is a right angled triangle.

They are all possibly lengths, however, the angle between length 9cm and 4cm will vary.

Answer 2

It's the same triangle inequality rule as before. Think of it this way:

Is 5 + 4 > 9? No.
Is 6 + 4 > 9? Yes.
Is 3 + 4 > 9? No.
Is 4 + 4 > 9? No.

Answer 3

so its b??

Answer 4

wired is correct

Answer 5

the triangle inequality by Cauchy states that if you know 2 lengths of 2 sides of a triangle, those 2 lengths will be longer than the 3rd last unknown

Answer 6

in other words,

if x=side 1
y=side 2
z=side 3

\[z\leq x+y\]

Answer 7

well approximately equal

i'd keep it just as

\[z<x+y

Answer 8

so the answer is b

Answer 9

http://en.wikipedia.org/wiki/Triangle_inequality here's cauchy's flaw as you get closer to a line

Answer 10

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