Posted by **Anonymous** on Saturday, October 17, 2009 at 11:26am.

How do you find a missing length in a triangle? I have two triangles. The lengths given are 18:27:x and the other one is 14:21:28.

- Math -
**jim**, Saturday, October 17, 2009 at 2:05pm
I don't understand the question. You have only one missing length for two triangles?

I do note that the ratio of sides in the two cases is

2:3:(1/3)x

2:3:4

Just considering triangle 1, x could be anything less than 45 (bonus question: why?).

Maybe you want x so that the two triangles will be the same shape - same angles. If so, I think I've given you a big clue by writing the ratios of sides.

- Math -
**Anonymous**, Saturday, October 17, 2009 at 2:40pm
Perfect. I figured out what x was but I couldn't figure out how to show the calculations! The answer is 36, I think? Do you get the same thing?

- Math -
**jim**, Saturday, October 17, 2009 at 2:45pm
Yes, absolutely!

Try this:

18 : 27 : x = 2*9 : 3*9 : x

14 : 21 : 28 = 2*7 : 3*7 : 4*7

Clearer now?

- Math -
**Anonymous**, Saturday, October 17, 2009 at 2:47pm
Yes, perfectly. Thank you. Sorry I wasn't clearer on my question asking

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