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Length of a side of an equilateral triangle : Perimeter = 1 : 3

For example, if the length of the sides of an equilateral triangle were 5cm each, then perimeter would be three times that much - 15cm.

5 : 15 is the same as 1 : 3 when simplified. Length of a side of an equilateral triangle : Perimeter = 1 : 3

For example, if the length of the sides of an equilateral triangle were 5cm each, then perimeter would be three times that much - 15cm.

5 : 15 is the same as 1 : 3 when simplified.

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Q: What is the ratio of the length of a side of an equilateral triangle to its perimeter?

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Starting with an equilateral triangle of side 2, dropping a perpendicular from one vertex to the opposite base creates two equal right angled triangles with hypotenuse of length 2, base length 1 and height of length √(22 - 12) = √3 which is the longer leg of the 30-60-90 triangle. Thus the ratio of longer_leg : hypotenuse is √3 : 2

You divide the length of the shortest side by the length of the longest side.

It's not possible to have a right angle triangle with sides of equal length. The sides on a right angle triangle are always in the ratio 3:4:5.

In a 30Â° 60Â° 90Â° triangle, the ratio (long leg)/hypotenuse = sqrt(3)/2 ~ 0.866The ratio (short leg)/hypotenuse = 1/2 = 0.5

2.5ins, 6ins and 6.5ins respectively.The perimeter of a 5-12-13 triangle would be 30 in.The shortest side is 5/30 = 1/6 of the perimeter, the middle side is 12/30 = 2/5 and the biggest is 13/30.So, for the triangle with perimeter 15 inches, the smallest side is 1/6*15 = 2.5 inches.The middle side is 2/5*15 = 6 inches and the biggest side is 13/30*15 = 6.5 inches.

Related questions

the ratio of the perimeter of triangle ABC to the perimeter of triangle JKL is 2:1. what is the perimeter of triangle JKL?

The answer depends on whether you are referring to the perimeter or area, and also which characteristics are comparable: the sides of (an equilateral) triangle, its height and the radius or diameter of the circle.

Here's how to do that: 1). Find its length. 2). Find its perimeter. 3). Divide (its length) by (its perimeter). The quotient is the ratio of its length to its perimeter.

A regular pentagon has all sides the same length. A pentagon has 5 sides. Its perimeter is the sum of its side_lengths which is 5 x side_length → ratio side_length : perimeter = 1 x side_length : 5 x side_length = 1 : 5

If an equilateral triangle and a square have equal perimeters, then the ratio of the area of the triangle to the area of the square is 1:3.

I need to know more about the triangle, such as one or 2 of the angles, whether it is isosceles or equilateral, or whether the lengths share a certain ratio. For example, a triangle of sides 8,8 and 5 (perimeter of 21) will surely have a different area as compared to a triangle of sides 7,7 and 7 (perimeter of 21 as well)

A median divides any triangle in half.

1:1.23

If the length to width ratio is 4 to 5 then the length to width ratio is 4 to 5no matter what the perimeter. If the perimeter is 70 feet then the sides are 15.555... and 19.444... feet respectively.

An equilateral triangle hasn't a hypotenuse; hypotenuse means the side opposite the right angle in a right triangle. An equilateral triangle has no right angles; rather all three of its angles measure 60 degrees. Knowing the length of the hypotenuse of a right triangle does not give enough information to determine the triangle's height. But the length of a side (which is the same for every side) of an equilateral triangle is enough information from which to calculate the height of that triangle. The first way is simply to use the formula that has been developed for this purpose: height = (length X sqrt(3)) / 2. But you can also use the geometry of right triangles to solve for the height. That is because you can bisect the triangle with a vertical line from the top vertex to the center of the base. The length of that line, which splits the equilateral triangle into two right triangles, is the height of the equilateral triangle. We know a lot about each right triangle formed by bisecting the equilateral triangle: * - The hypotenuse length is the length of the equilateral triangle's side. * - The base length is half the length of the hypotenuse. * - The angle opposite the hypotenuse is 90 degrees. * - The angle opposite the vertical is 60 degrees (the measure of every angle of any equilateral triangle). * - The angle opposite the base is 30 degrees (half of the bisected 60-degree angle). * - (Note that the sum of the angles does equal 180 degrees, as it must.) Now to solve for the height of a right triangle. There are a few ways. For labeling, let's let h=height of the equilateral triangle and the vertical side of the right triangle; A=every angle of the equilateral triangle (each 60o); s=side length of any side of the equilateral triangle and thus the hypotenuse of the right triangle. Since the sine of an angle of a right triangle is equal to the ratio of the opposite side divided by the hypotenuse, we can write that sin(A) = h/s. Solving for h, we get h=sin(A)/s. With trig tables you can now easily find the height.

the answer is 2 and 5

It is 0.6046 : 1 (approx).

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