SOLUTION: if the measures the angles of a triangle are represeted by 2x, 4x and 6x, then the triangle is :
1) right
2) obtuse
3) acute
4) equiangluar
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-> SOLUTION: if the measures the angles of a triangle are represeted by 2x, 4x and 6x, then the triangle is :
1) right
2) obtuse
3) acute
4) equiangluar
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Question 458893: if the measures the angles of a triangle are represeted by 2x, 4x and 6x, then the triangle is :
1) right
2) obtuse
3) acute
4) equiangluar Found 2 solutions by Alan3354, bucky:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! The sum of the interior angles of a triangle is 180 degrees. The total of the three given angles is:
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So you can say that the total of the three angles equals 180 degrees. Then solve for x and find each of the three angles:
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Solve for x by dividing both sides of this equation by 12 to get:
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Now that you know x is 15 degrees you can determine the three angles.
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The first angle is 2x or 2 times 15 degrees. So this angle is 30 degrees.
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The second angle is 4x or 4 times 15 degrees. So this angle is 60 degrees.
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The last angle is 6x or 6 times 15 degrees. So this angle is 90 degrees.
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These results make it apparent that the triangle is a right triangle because one of the angles is 90 degrees.
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Hope this helps you to see how this problem can be worked. Make sure that you understand the method. Good luck with your math studies.
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