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To find the angle measures of the given
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Answer to Problem 6E
The angles measures are
The triangle is a scalene triangle.
Explanation of Solution
Given information:
Ratio of the angle measures in a triangle is given as
Calculation:
Let the angle measures be 6x, 5x, 4x.
The sum of all the angles of a triangle is 180. Hence,
Adding all the x on the left side of the equation
Divide both the sides by 15
This will give the value of
Hence the angle measures are
First angle is 6xmultiply 6 with 12
Second angle 5x multiply 5 with 12
Third angle is 4x multiply 4 with 12
As all the angle measures are different, which implies that all the sides of the triangle are of different lengths. Hence the triangle is Scalene triangle.
Conclusion- The angle measures of the triangle are 72, 60 and 48 and the triangle can be classified as Scalene triangle.
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ELEMENTARY+INTERMEDIATE ALGEBRA
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