SOLUTION: 1. The ratio of angle measures in a triangle is 5:12:19. What is the measure of the smallest angle? 2. What is the value of X? x+3/12 = 6/x-3

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Question 974736: 1. The ratio of angle measures in a triangle is 5:12:19. What is the measure of the smallest angle?
2. What is the value of X?
x+3/12 = 6/x-3

Found 2 solutions by harpazo, MathTherapy:
Answer by harpazo(655)   (Show Source): You can put this solution on YOUR website!
I will solve number 2.

Repost number 1 for someone else to solve.

Solve for x: x+3/12 = 6/x-3

Cross-multiply to remove fractions.

(12)(6) = (x+3)(x-3)

72 = x^2 - 9

0 = x^2 -9 -72

0 = x^2 - 81

0 = (x-9)(x+9)

Set each factor to equal zero and Solve

individually for x.
x-9 = 0
x = 9

Then x + 9 = 0.

x + 9 = 0
x = -9

The values of x are -9 and 9.


Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

1. The ratio of angle measures in a triangle is 5:12:19. What is the measure of the smallest angle?
2. What is the value of X?
x+3/12 = 6/x-3
1.
Measure of smallest angle: , or , or , or  

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