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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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โˆ™ 2009-04-13 13:41:45
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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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The ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?

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


How do i find the Ratio of the shortest to the longest side of a triangle?

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


What right triangle has legs of equal length?

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.


What could be the ratio of the length of of the longer leg of a 30 60 90 triangle to the length of its hypotenuse?

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


The sides of a triangle are in a ratio 5 12 13 What is the length of each side if the perimeter of the triangle is 15in?

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.

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What is the ratio of the perimeter of the smaller triangle to the perimeter of the lager triangle?

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


What is the ratio of triangle to circle?

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.


How do you 'find the ratio of its length to its perimeter?

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.


What is the ratio of the length of an equilateral pentagon 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


An equilateral triangle and a square have equal perimeters what is the ratio of the area of the triangle to the area of the square?

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.


Find the area of a triangle that has a perimeter of 21 inches?

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)


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What is the Ratio of rectangle 18cm length 84cm perimeter to 15cm length 77cm perimeter?

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If a rectangle has a perimeter of 70 feet what is the 4 to 5 length to width ratio?

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How do you find the height of an equilateral triangle if you have the length of the hypotenuse?

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.


A triangle with a perimeter of 18inches has one 8inch side find the length of each of the remaining two sides if their ratio is 2 to 5?

the answer is 2 and 5


What is the ratio of the areas of an equilateral triangle and a circle if their perimeters are same?

It is 0.6046 : 1 (approx).

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