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

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!
2x + 4x + 6x = 180
x = 15
---------
Angles are 30, 60, 90 degs
Answer by bucky(2189) (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:
.

.
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:
.

.
Solve for x by dividing both sides of this equation by 12 to get:
.

.

.
Now that you know x is 15 degrees you can determine the three angles.
.
The first angle is 2x or 2 times 15 degrees. So this angle is 30 degrees.
.
The second angle is 4x or 4 times 15 degrees. So this angle is 60 degrees.
.
The last angle is 6x or 6 times 15 degrees. So this angle is 90 degrees.
.
These results make it apparent that the triangle is a right triangle because one of the angles is 90 degrees.
.
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.

RELATED QUESTIONS
The measures of the angles in a triangle are x, 2x, and 3x. The triangle is acute... (answered by Edwin McCravy)
The measures of the angles in a triangle are x, 2x, and 3x. The triangle is acute,... (answered by josgarithmetic)
If the measure of one angle of a triangle is equal to the sum of the measures of the... (answered by bucky)
If the measures of the acute angles of a right triangle are 2x+4 and 3x-9, then... (answered by ewatrrr)
the three angles of a triangle are represented by 9x,11x+2,and 3x-6. classify the... (answered by richwmiller)
if the measures of the angles of a triangle have the ratio 2 : 7 : 9, is the triangle... (answered by richwmiller)
If the measures of the exterior angles of the acute angles of a right triangle are 2x+15... (answered by ramkikk66)
the measure of the angles of a triangle are 2x + 10 , 3x , and 8x - 25, the triangle is (answered by CharlesG2,nyc_function)
If in a triangle, the sum of two angles is equal to the third angle then the triangle is... (answered by richard1234)