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# An equilateral triangle has an area of What is the height?

Updated: 10/25/2022

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Q: An equilateral triangle has an area of What is the height?
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### What is area of triangle when height is 50cm and triangle is an equilateral?

Area = 1443.376 cm2

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### 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).

### What is the formula of area of equilateral triangle?

It is: 0.5*base*perpendicular height

### How do you calculate the area of an equilateral triangle?

Area = 1/2*base*perpendicular height.

### What is the area of an equilateral triangle with a height of 9 inches?

Its area is 46.8 (46.76533) square inches.

### What is the area of an equilateral triangle of side 2a?

The height of an equilateral triangle is &radic;3/2 x side_length. So for an equilateral triangle of side length 2a, the area is: area = 1/2 x base x height 1/2 x (2a) x (&radic;3/2 x 2a) = &radic;3 a2

### 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.

### 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 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).

### What is the base and height of an equilateral triangle with an area of 12?

The base length is 5.2643 units and the height is 4.55902 units.