the area of an equilateral triangle is given by the expression s^2 x square root of 3/4, where s is the side length of the triangle. what is the area of the triangle? round to the nearest tenth

the triangle is 5 cm on all three sides.

A = 0.5*AB*AC*sin A=0.5 *5 * 5 * sin 60 = 10.8 cm^2.

To find the area of an equilateral triangle, you can use the formula:

Area = s^2 * √3 / 4

Given that the side length (s) of the equilateral triangle is 5 cm, we can substitute that value into the formula:

Area = (5 cm)^2 * √3 / 4
= 25 cm^2 * (√3 / 4)

Now, let's calculate the value of (√3 / 4):

√3 ≈ 1.732

√3 / 4 ≈ 1.732 / 4
≈ 0.433

To find the area, we multiply (25 cm^2) by 0.433:

Area ≈ 25 cm^2 * 0.433
≈ 10.825 cm^2

Rounded to the nearest tenth, the area of the equilateral triangle is approximately 10.8 cm^2.

To find the area of an equilateral triangle, we can use the formula provided:

Area = s^2 * √3/4

Let's substitute the given side length, s = 5 cm, into the formula:

Area = (5 cm)^2 * √3/4

First, let's calculate the square of the side length:

(5 cm)^2 = 25 cm^2

Now, let's substitute this value back into the formula:

Area = 25 cm^2 * √3/4

Next, let's simplify the expression √3/4:

√3/4 ≈ 0.866

Now, multiply the simplified value by the square of the side length:

Area ≈ 25 cm^2 * 0.866

To find the rounded answer to the nearest tenth, we multiply the two values:

Area ≈ 21.65 cm^2

Therefore, the area of the equilateral triangle, rounded to the nearest tenth, is approximately 21.7 cm^2.

(1/4)(25)sqrt 3 = 10.8 cm^2