Find the area of equilateral triangles Free Math Quiz

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An equilateral triangle is that triangle which has all the sides of the same length. Since all the sides are equal in length, all the angles present in that triangle are also equal. Here in the quiz, the questions have few neat and lucid illustrations of equilateral triangles along with the dimensions. The child is supposed to find out the area of each of the triangle by using the formula that he or she has learned for the area calculation of equilateral triangles. The questions are easy and the child will be having a good grip on the calculation of areas after solving this quiz.

What is an equilateral triangle and how to find its area?

An equilateral triangle is a type of triangle that has three sides with the same length. All three angles of an equilateral triangle are also equal, each measuring 60 degrees.

To find the area of an equilateral triangle, we use a formula that involves the length of one of the sides. The formula is:

Area = (sqrt(3) / 4) * (side^2)

The symbol “sqrt” stands for “square root.” It’s a math operation that undoes squaring a number. For example, the square root of 4 is 2, because 2 x 2 = 4.

To use the formula, we need to measure the length of one of the sides of the triangle and plug that number into the formula. Let’s try an example:

Imagine we have an equilateral triangle with sides that are each 6 inches long. Plugging this number into the formula, we get:

Area = (sqrt(3) / 4) * (6^2) = (sqrt(3) / 4) * 36

To find the square root of 3, we can use a calculator or look it up in a math table. The square root of 3 is approximately 1.73. Plugging this number into the formula, we get:

Area = (1.73 / 4) * 36 = 0.43 * 36 = 15.48 inches

So the area of this equilateral triangle is approximately 15.48 square inches.

It’s important to remember that the side length must be in the same units as the area, whether it’s inches, feet, or centimeters. Make sure to use the same units for both the side length and the area when using the formula.