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The height is a leg of a right triangle. The other leg is 1/2 of the side of the original triangle and the hypotenuse is a side of this same triangle.
Use the Pythagorean theorem to solve for the height:
If s is the length of the sides of the equilateral triangle,
The height is the square root of s squared minus (s/2) squared.
Since (s/2) squared is s squared over 4, s squared minus (s/2) squared is 3/4 s squared.
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What is the area of an equilateral triangle with sides of 10 inches and height of 7 inches?
I'm showing it with absolute proof. Equilateral triangle both side are same in size & same angel.It's given with the sides of 10 inches & height 7 inches. I don't need to count the height(7),just use side(10).The formula is=Area of a equilateral triangle="root over of 3" /4 * "a square"Now I use this formula,where "a" is 10. So the answers come=43.3,which is 44.So the Correct answer is=44 inches.* * * * *Mostly correct, but:43.3 should be rounded to 43, not 44.The units for the area should be square inches, not inches.
What is the distance between the centroid and the vertex of an equilateral triangle?
It is two-thirds of the triangle's height.
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.
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
