Perimeter of Triangle: the length of the sides of a triangle are 1/x, 2/x, and 2/3x meters. Find a rational expression for the perimeter of the triangle
Add the three numbers.
With a common denominator, you get 11/3x
What is the lengths of the sides from shortest to longest when the perimeter of a triangle is 61 centimeters, the longest side is 3 centimeters, and the shortest side is 19 centimeters.
To find the perimeter of a triangle, we need to add up the lengths of all three sides.
Given that the lengths of the sides are 1/x, 2/x, and 2/3x meters, we can express the perimeter (P) as:
P = 1/x + 2/x + 2/3x
To simplify this rational expression, we need to find a common denominator for all the terms.
The common denominator for x and 3x will be 3x, as x can be multiplied by 3 to reach the denominator of 3x.
Rewriting the expression with the common denominator, we have:
P = (3x/3x) * (1/x) + (3x/3x) * (2/x) + (3x/3x) * (2/3x)
Simplifying each term, we get:
P = (3x + 6x + 2) / 3x
Combining like terms, we have:
P = (9x + 2) / 3x
Therefore, the rational expression for the perimeter of the triangle is (9x + 2) / 3x.