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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.
I'll let you finish it off.
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∙ 15y ago
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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
What is the formula of area of equilateral triangle?
It is: 0.5*base*perpendicular height
What is the formula to find the area to an equilateral triangle?
Base times height and divided by 2.
What is the formula for the area for an equilateral triangle?
-- The area of any triangle is 1/2 (length of the base x height). -- For an equilateral triangle, that's equivalent to 1/2 x sqrt(3) x (length of a side).
Is the height of an equilateral triangle the same as the side lengths?
No. 1/2 base squared + height squared=side squared on an equilateral triangle.
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.
An equilateral triangle has an area of What is the height?
8.7
What is the area of equilateral triangle with height is 20 and Base is 15?
An equilateral triangle with a height of 20 has a base of 23.1 (23.09401), not 15. If the base is 15 then the height will be 13 (12.99038).
FORMULA- area of equilateral triangle?
Area of Equilateral Triangle A= S2 * (Root 3)/4, where A= Area of the triangle S= Side of the triangle.
What is the area of an equilateral triangle whose measure 8 cm?
The answer is 32 cm. because the formula for the area of a triangle is 1/2*base*height. Since its an equilateral triangle, it has equal sides. so just substitute it to the given formula. It will be 1/2*8*8 so therefore its 32 :)
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 height of an equilateral triangle with a length of x?
Cutting the equilateral triangle in half results in two right triangles each with a base of length x/2, and angles of 30, 60, and 90 degrees. Using the lengths of sides of a 30-60-90 triangle it can be found that the height is (x/2)√(3), which is the same as the height of the equilateral triangle.So the height of the equilateral triangle is x√(3) / 2.
The height of an equilateral triangle is 6cm.find the area?
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