The ratio of the measures of three sides of a triangle are 1/2:1/3:1/5, and its perimeter is 6.2 centimeters. find the measure of each side of the triangle
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u stupid bit****
y+2/3x-1
y+-x+4
To find the measure of each side of the triangle, we need to first assign variables to the sides of the triangle. Let's say the lengths of the sides are x, y, and z, respectively.
According to the given information, the ratio of the measures of the sides is 1/2:1/3:1/5. To express these ratios as fractions, we can use the least common multiple (LCM) of the denominators, which is 30. So the ratios become 15/30:10/30:6/30.
Now, we can set up equations based on the given information. Since the perimeter of a triangle is the sum of all its side lengths:
x + y + z = 6.2
and since the ratios can be expressed as fractions:
x/y = 15/30 = 1/2,
x/z = 10/30 = 1/3,
y/z = 6/30 = 1/5.
To solve these equations, we can use substitution or elimination. Let's use substitution in this case.
We have x/y = 1/2, which can be rewritten as x = (1/2)y.
Substituting this into the equation x/z = 1/3, we get:
(1/2)y/z = 1/3.
Cross-multiplying, we have:
3y = 2z.
Similarly, we can substitute x = (1/2)y into the equation y/z = 1/5:
(1/2)y/z = 1/5.
Cross-multiplying, we get:
5y = 2z.
Now we have a system of two equations with two variables:
3y = 2z,
5y = 2z.
We can solve this system by setting the equations equal to each other:
3y = 5y.
If we subtract 3y from both sides:
0 = 2y.
This tells us that y = 0, which does not make sense in this context since we are dealing with lengths.
Since we encountered an inconsistency, we need to revisit our work and identify any errors or if there might be no solution that satisfies the given conditions. However, upon reviewing the situation, we notice that the given ratios are incorrect because the sum of the fractions 1/2, 1/3, and 1/5 is not equal to 1.
Therefore, there is no valid solution for the measures of each side of the triangle based on the given information.