what is approximate area of triangle if each side is 36 inches long

Area of an equilateral triangle

A = 1/4(s^2 * (sqrt(3))

Draw a line from the middle of one side to the opposite apex.

That will give you a right triangle with the base being 18 inches and the hypotenuse being 36 inches.

Use the Pythagorean Theorem to find the height of the triangle.

Then use this formula:

A = 1/2bh

You could use (1/2) ab sinØ where a and b area two sides and Ø is the angle between them , so

Area = (1/2)(36)(36)sin60Ø
= (1/2)(36^2)(?3/2) which is the same as helper's answer and Ms Sue' answer.

The answer if 72 is not correct.

To find the approximate area of a triangle when each side length is given, you can use Heron's formula. Here are the steps to calculate the area:

1. Find the semi-perimeter (s) of the triangle:
- Add all three side lengths together: s = 36 + 36 + 36 = 108.

2. Apply Heron's formula to calculate the area (A):
- A = √(s(s - a)(s - b)(s - c)), where a, b, and c are the side lengths.
- In this case, a = b = c = 36, so the formula becomes:
A = √(108(108 - 36)(108 - 36)(108 - 36)).

3. Simplify the expression:
- A = √(108(72)(72)(72)).
- A = √(108 x 72^3).
- A ≈ √(2108304).

4. Approximate the square root using a calculator:
- A ≈ 1451.97.

Therefore, the approximate area of the triangle, given that each side length is 36 inches, is approximately 1451.97 square inches.