find the area of an equilateral triangle with each side measuring 8 m.?

Answer 1

A=1/2 AB Sin C
A=1/2 (8) (8) Sin 60

or

A=2 (1/2) Base Height
A=2 (1/2) (4) (8)

Answer 2

a million) quantity = (element of base)(top) element of base = (a million/2)bh b = 8 because of the fact that is an equilateral triangle, the top or altitude is one leg of a rt triangle, the size of the different leg is (a million/2) length of the area of the equilateral triangle (= (a million/2)(8) = 4), the hypotenuse is the size of one area of the equilateral triangle (8). a = altitude a^2 + 4^2 = 8^2 a^2 = sixty 4 - sixteen a^2 = forty 8 a = sqrt(forty 8) = 4sqrt3 element of base of prism: A = (a million/2)(8)(4sqrt3) = 16sqrt3 element of prism: A = (16sqrt3)(11.2) = 310.4 cm^3 2) A = 60 in^2 A = (a million/2)(length of shorter leg)(length of longer leg) l = longer leg s = shorter leg A = (a million/2)ls l = 2s - a million A = (a million/2)(2s - a million)(s) 60 = (a million/2)(2s^2 - s) a hundred and twenty = 2s^2 - s 2s^2 - s - a hundred and twenty = 0 Use quadratic equation: a = 2 b = -a million c = -a hundred and twenty s = (a million +/- sqrt((-a million)^2 - 4(2)(-a hundred and twenty)))/2(2) s = (a million +/- sqrt(a million + 960))/4 s = (a million +/- sqrt(961))/4 because of the fact that that could be a length, we are purely involved interior the useful answer: s = a million/4 + (sqrt961)/4 s = a million/4 + 31/4 s = 32/4 s = 8 l = 2(8) - a million = sixteen - a million = 15

Answer 3

If you draw an equilateral triangle and draw the height, you'll notice that it forms two 30-60-90 triangles. The ratio of the sides of a 30-60-90 triangle are 2 : 1 : sqrt(3), which you can prove with the Pythagorean theorem (or just memorize).

In your case, the hypotenuse is equal to 8 (rather than 2), so the 30-60-90 triangle would have ratios of 8 : 4 : 4*sqrt(3).

That means the height is 4*sqrt(3) and the base is 8.

Using the formula for the area of a triangle:
A = 1/2(b*h)
A = 8*4*sqrt(3) / 2
A = 16 sqrt(3)
A ≈ 27.713 m²

Answer 4

equilateral triangle = the side length squared (8 squared = 64) multiplied by the square root of 3, ( 64 x square root of 3 which is 1.732051, or rounded to 1.73) which equals 110.72 then that is divided by 4 which equals 27.68 square meters. And that is the area of an equilateral triangle with 8m sides....


Go do your homework!

Answer 5

All 3 anles of the triangle are 60 degree.
So 13,84.

Answer 6

area=rt3/4 *a^2
=rt3/4*64
16rt3 m^2