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Find the length of an equilateral triangle has a height of five?
Wiki User
∙ 9y ago
10 times (the square root of 3 divided by 3)
Wiki User
∙ 9y ago
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Find the side length of an equilateral triangle that has a height of 5?
10 times (the square root of 3 divided by 3)
What is the area of a Reuleaux triangle that has a diameter of 4 in?
its 1/2 the area of a circle with the length of on side of the triangle as the radius. then subtract 2 times the area of said equilateral triangle. (to find its height, use the Pythagorean theory. split the triangle in half to get its height, the base will be 1/2 the length of its side. Type your answer here...
If each side of the equilateral triangle measures 9c find the height of the triangle?
The area of a triangle is one-half the product of the triangle's base and height. The height of an equilateral triangle is the distance from one vertex along the perpendicular bisector line of the opposite side. This line divides the equilateral triangle into two right triangles, each with a hypotenuse of 9c and a base of (9/2)c. From the Pythagorean theorem, the height must be the square root of {(9c)2 - [(9/2)c]}, and this height is the same as that of the equilateral triangle.
How do you find the area of an equilateral triangle without knowing the height?
You find the height by using Pythagoras' theorem and then 0.5*base*height = area.
What is the length of the sides of an equilateral triangle?
It depends on how big the triangle is. Find out the length of one side and then all the rest of the sides will be the same.
How do you find the height of an equalateral triangle?
To find the altitude or height of an equilateral triangle, take one-half of the length of a side of the triangle and multiple by "square root" of 3. So, if for example, the side has length 10, the height = 5 Square root of 3.
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.
How do you find the side lengths of an equilateral triangle if all you know is the height?
you times the length by the amount of sides then you divide the answer by 100
Find the side length of an equilateral triangle that has a height of 5?
10 times (the square root of 3 divided by 3)
How do you find the length of a triangle when perimeter is given?
If the triangle is equilateral, you simply divide the perimeter by three to find the length of each side. If the triangle is not equilateral, you will need more information to determine the length of each side.
How do you find the height of an equilateral triangle?
By using Pythagoras' theorem
How do you find height of an equilateral triangle?
By using Pythagoras' theorem.
If each side of the equilateral triangle measures 9c find the height of the triangle?
The area of a triangle is one-half the product of the triangle's base and height. The height of an equilateral triangle is the distance from one vertex along the perpendicular bisector line of the opposite side. This line divides the equilateral triangle into two right triangles, each with a hypotenuse of 9c and a base of (9/2)c. From the Pythagorean theorem, the height must be the square root of {(9c)2 - [(9/2)c]}, and this height is the same as that of the equilateral triangle.
What is the area of a Reuleaux triangle that has a diameter of 4 in?
its 1/2 the area of a circle with the length of on side of the triangle as the radius. then subtract 2 times the area of said equilateral triangle. (to find its height, use the Pythagorean theory. split the triangle in half to get its height, the base will be 1/2 the length of its side. Type your answer here...
What is the length of the sides of an equilateral triangle?
It depends on how big the triangle is. Find out the length of one side and then all the rest of the sides will be the same.
How do you find the area of an equilateral triangle without knowing the height?
You find the height by using Pythagoras' theorem and then 0.5*base*height = area.
What is the height of an equilateral triangle with the side lengths of 18 center meters?
In effect an equilateral triangle is made up of two right angle triangles joined together so use Pythagoras' theorem to find the height:- 182-92 = 243 and the square root of this will be the height of the equilateral triangle which is about 15.588 cm
