The perimeter of a triangle is 45 feet. The ratio of the width to the length is 2:3:4. Find the measure of each side.
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x =
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b =
c =
45 divided by 9 equals 5. 2 x 5 = 10. 3 x 5 = 15. 4 x 5 = 20. I did this thanks to Steve. Thanks Steve, you beautiful creature.
The sides are 2x,3x,4x
Add them up and you have 9x=45
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To find the measure of each side of the triangle, we need to use the ratio of the width to the length. Let's assign variables to the sides of the triangle:
The width = 2x
The length = 3x
The ratio of the width to the length is given as 2:3:4, so the height = 4x.
The perimeter of a triangle is the sum of its side lengths. In this case, the perimeter is given as 45 feet. Thus, we can set up the equation:
2x + 3x + 4x = 45
Combine like terms:
9x = 45
Divide both sides of the equation by 9:
x = 45/9
x = 5
Now that we have found the value of x, we can use it to find the measure of each side:
a = width = 2x = 2 * 5 = 10 feet
b = length = 3x = 3 * 5 = 15 feet
c = height = 4x = 4 * 5 = 20 feet
So, the measure of each side of the triangle is:
a = 10 feet
b = 15 feet
c = 20 feet