List the angels of triangle bcd from smallest to largest?

1. BC=7, CD=12, BD=16

2. BC=6.1, CD=5.2, BD=6.3

3. BC=22, CD=24, BD=13

Results 1 to 6 of 6

- Apr 6th 2008, 04:33 PM #1

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- Apr 6th 2008, 04:42 PM #2

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Think about a triangle with whatever sides you choose. The bigger the side the larger the angle opposite of it is. So, for the first one,

angle A, angle B, angle D

each side corresponds to the angle opposite or the angle with the letter the side is missing.

- Apr 6th 2008, 07:34 PM #3

- Apr 6th 2008, 07:39 PM #4

- Apr 6th 2008, 07:41 PM #5
## O yeah

I know that I was just trying to explain that the reason the larger the opposite angle the larger the side is that the smaller than angle the smaller $\displaystyle sin(\theta)$ which is in the denominator so it makes the ratio bigger...or am I off...I've never seen this before and I just had a brain storm...haha probably should have thought it through better

- Apr 6th 2008, 07:43 PM #6
well, that discussion is all well and good. but i am afraid it's unnecessary. if the poster just finds two angles, he/she can get the third by subtracting the sum of the previous two from 180, and then, after knowing the value of the angles, there will be no question as to which is largest or smallest. worrying about that from the get-go is slowing yourself down. just find the angles, you have to find them anyway