To find the length of the sides of the
Answer to Problem 18E
The length of the sides of the triangle are 12 millimeters,6 millimeters and 11 millimeters respectively.
The triangle is scalene triangle.
Explanation of Solution
Given information:
Perimeter of the triangle is given as 29 millimeters
Length of first side is twice the length of the second side of the triangle
Length of the third side is 5 more than the length of the second side of the triangle
Calculation:
Perimeter of the triangle is 29 millimeters
Let the length of second side of the triangle be x
First side of the length is twice the length of the second side,
So can be written it as 2x
Third side of the length is 5 more than the length of the second side,
So can be written it as
To find the length of all the sides ,add all the sides together.
Hence, can be written it as-
Now, add all the x together
Subtract 5 from both the sides
This gives-
Now divide both sides by 4
This gives us −
So the length of the second side of the triangle is 6 millimeters
To find the length of the first side of the triangle-
As known it is 2x. So , multiply 2 times with 6
Hence, length of the second side of the triangle is 12 millimeters
To find the length of the third side of the triangle-
As known it is 5 more than the length of the second side, so will add 5 more to 6
Hence, length of the third side of the triangle is 11 millimeters
Conclusion- The length of the sides of the triangle are 12 millimeters,6 millimeters and 11 millimeters respectively.
Since, all the three sides of the triangle are not the same it is a scalene triangle.
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Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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