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ratio problem

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by notgoodinmath » Fri Oct 24, 2008 9:46 am
If the ratio of the smallest to largest angle of a triangle is 2:7 and the ratio of the smallest to the next smallest angle is 1:3. What is the largest angle?


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Re: ratio problem

by yezz » Fri Oct 24, 2008 10:41 am
notgoodinmath wrote:If the ratio of the smallest to largest angle of a triangle is 2:7 and the ratio of the smallest to the next smallest angle is 1:3. What is the largest angle?

smallest = 2x, largest = 7x

smallest to middle is 1:3 , ie 2x,6x

total angles = 180 = 6x+2x+7x = 15x, ie x = 12

7*12 = 84 degrees
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by piyushdabomb » Mon Oct 27, 2008 4:58 am
I don't know if I was going about this the wrong way but couldn't I just use 3 equations and 3 unknowns?

1) x + y + z = 180
2) x + y + 7x = 180
3) x + 3x + z = 180

...and solve?
-------------------
Sincerely,

Piyush A.
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by deepamohn » Tue Oct 28, 2008 11:08 pm
Smallest angle = S
largest angle = L1
2nd Largest angle = L2

Ratio of S/L1= 2/7
S/L2= 1/3

L1:S:L2 = 7: 2:6

Ans -> 7/15 (180) = 84
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