SOLUTION: 1. three angles are in the ratio 2:3:4.If the smallest angle is 24 ,fing the sum of the three angles? 2.the first three triangular are 1,3,6,which of the following is the fourth

Algebra ->  Pythagorean-theorem -> SOLUTION: 1. three angles are in the ratio 2:3:4.If the smallest angle is 24 ,fing the sum of the three angles? 2.the first three triangular are 1,3,6,which of the following is the fourth      Log On


   

Question 355096: 1. three angles are in the ratio 2:3:4.If the smallest angle is 24 ,fing the sum of the three angles?
2.the first three triangular are 1,3,6,which of the following is the fourth triangular number?

Answer by robertb(5830) About Me  (Show Source):
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1. Let S = sum of the three angles. Then the smallest angle is 2/9 of the sum, the next is 3/9 of the sum, and the biggest is 4/9 of the sum. Now it is given that 2S%2F9+=+24, so S+=+108.
2. The fourth triangular number is 1+2+3+4 = 10. The 5th is 10+5 = 15, etc...