SOLUTION: The smallest angle of a scalene triangle is 2/3rd the size of the middle angle, and the middle angle is 3/7th of the largest angle. Find measure of the largest angle.

Algebra ->  Triangles -> SOLUTION: The smallest angle of a scalene triangle is 2/3rd the size of the middle angle, and the middle angle is 3/7th of the largest angle. Find measure of the largest angle.       Log On


   

Question 491281: The smallest angle of a scalene triangle is 2/3rd the size of the middle angle, and the middle angle is 3/7th of the largest angle. Find measure of the largest angle.
Answer by cleomenius(959) About Me  (Show Source):
You can put this solution on YOUR website!
There may be a less awkward way to do this, but this method does work.
Smallest = 2/3 * 3/7 = 6/ 21 of largest
Middle = 9/21 0f largest
largest = 21/21
6 + 9 + 21 = 36 parts total.
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6/36 = x/180 = 30 degrees.
9/36 = x/180 = 45 degrees.
21/36 = x/180 = 105 degrees.
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To check.
45 degrees * 2/3 is 30 degrees.
105 degrees * 3/7 is 45 degrees.
This does check.
Cleomenius.