How do you find the base area of an equilateral triangle?

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How do you find the base area of an equilateral triangle?

In general, the height of an equilateral triangle is equal to √3 / 2 times a side of the equilateral triangle. The area of an equilateral triangle is equal to 1/2 * √3s/ 2 * s = √3s2/4.

How do you calculate the area of the base of a triangle?

For any given triangle, where the base of the triangle is ‘b’ and height is ‘h’, the area of the triangle can be calculated by the formula, A = 1/2 (b × h).

What is the base of a equilateral triangle?

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The base of an equilateral triangle with side 2a lies along the y-axis such that the mid-point of the base is at the origin.

How do you find the area of an equilateral triangle using the Pythagorean theorem?

You can use the Pythagorean theorem and height of the right triangles within the equilateral to determine the missing side lengths of an equilateral triangle. Then, you can use the formula A = √3/4 (a²) to determine the area of an equilateral triangle.

What is the formula of area of base?

Rectangular Bases The area of a rectangle is equal to its length, l, multiplied by its width, w: A = l x w. Given a pyramid whose base is 10 inches long and 15 inches wide, find area as follows: A = 10 inches x 15 inches = 150 square inches.

What is the formula for surface area of a triangular pyramid?

To find the surface area of a regular triangular pyramid, we use the formula SA = A + (3/2)bh, where A = the area of the pyramid’s base, b = the base of one of the faces, and h = height of one of the faces.

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What is the formula finding the base?

BASE (B=P/R) – The whole in a problem. The amount you are taking a percent of. RATE (R=P/B) – The ratio of amount to the base. It is written as a percent.

What is the formula to calculate the area of a triangle?

The general formula for the area of a triangle whose base and height are known is given as: Area = 1/2 × base × height. While the formula to calculate the area of an equilateral triangle is given as, Area = √3/4 × (side) 2 square units. In the given triangle ABC, Area of ΔABC = (√3/4) × (side) 2 square units. where,

How to find the formula of an equilateral triangle?

Derivation for the formula of an equilateral triangle is given below. Area of triangle = ½ × base × height For finding the height of an equilateral triangle we use the Pythagoras theorem (hypotenuse 2 = base 2 + height 2). Here, base = a, and height = h

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What is the area of a triangle with base b and height?

To be noted, the base and height of the triangle are perpendicular to each other. The unit of area is measured in square units (m2, cm2). Example: What is the area of a triangle with base b = 3 cm and height h = 4 cm? Area of a Triangle, A = 1/2 × b × h = 1/2 × 4 cm × 3 cm = 2 cm × 3 cm = 6 cm 2.

How to find the area of a triangle using Heron’s formula?

The first step is to find the semi perimeter of a triangle by adding all the three sides of a triangle and dividing it by 2. The next step is that, apply the semi-perimeter of triangle value in the main formula called “Heron’s Formula” to find the area of a triangle.