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Divide the base in half and draw the median from the apex. This median is also the altitude and so its length is the required height. Also, since it is the altitude, it forms a right angled triangle. Using Pythagoras on this triangle, the height is 9*sqrt(3)/2.

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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.


How do you find the height of a triangle with a base of 16meters and the side that is not the height 18meters?

If it is a right triangle, use the Pythagorean theorem. If it is iscossolese or scalene, draw line down middle, use pythagorean theorem to solve for missing side.


How do you work out the slant height of a cone?

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What does the pythagoerean theorem?

the Pythagorean theorem helps find the value of the longest side in a right triangle if you know the value of the base and the height.


What is the height of an equilateral triangle with the side lengths of 8 inches?

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How do you find the perpendicular height of a triangle?

If it is a right triangle, you can use the Pythagorean theorem to find the height since it will be on of the sides. If it is an equilateral triangle, you can break it up into two right triangles and use the part above. If it is an oblique triangle, you use the angles and some trigonometry to find it. Since the area is 1/2 b x h, if you are given the area, you can solve for the height.


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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


How do you calculate height of triangle if base is 2 and hypotenuse is 3?

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