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.