How To Calculate The Area Of An Equilateral Triangle Without The Height?

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How to Calculate the Area of an Equilateral Triangle Without the Height?

What is an Equilateral Triangle?

An equilateral triangle is a triangle which has all three sides of equal length. Its angles measure 60° each, and all of the three angles of an equilateral triangle are equal.

How to Calculate the Area of an Equilateral Triangle Without the Height?

Calculating the area of an equilateral triangle without the height can be done using an equation. The equation for finding the area of an equilateral triangle without the height is:

Area = (√3/4) x (side length)2

Example:

Let's say we have an equilateral triangle with a side length of 5 cm. We can calculate the area of the triangle with the following equation:

Area = (√3/4) x (5 cm)2

Area = (√3/4) x 25 cm2

Area = 18.97 cm2

Conclusion

The area of the equilateral triangle with a side length of 5 cm is 18.97 cm2. This equation is useful for quickly calculating the area of an equilateral triangle without the need to know the height.

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