CALCULATING THE SQUARE FOOTAGE AREA OF A TRIANGLE




CALCULATING THE SQUARE FOOTAGE AREA OF A TRIANGLE

Square footage is a measurement of area, which includes any two-dimensional segment defined by set of lines. Consider a dancing floor that is 20 feet long and 20 feet wide (6.09 meters by 6.09 meters). How do we express how much space it takes up? Because dance floor is square, you can simply multiply the width of floor by length to get 400 square feet. Resulting in a total area of the dance floor to be 400 square feet (i.e. 37.2 square meters).

A square foot is often not in the shape of a square. The above-mentioned dance floor may be in the shape of a triangle and span the same space. If you want compute area of a triangle or circle, the equation will be different, but concept will remain same. If you know the correct numbers, you'll get the correct response.

How to calculate Area of Triangle

The entire area is enclosed by the triangle's three sides is defined as the triangle's area. We must first know the base (b) and height (h) of a tri-sided polygon to calculate its area (h). It is common to all kinds of triangles, such as scalene, isosceles, and equilateral ones. Indeed, note that the base and height of the triangle are also perpendicular to each other. The triangles are of different types and identified by their side types and angles.

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·Area of a Right Angled Triangle

Consider a right-angled triangle that comprises one 90° angle and also two acute angles whose sum is equal to 90°. Eventually, this results in the triangle's height being equivalent to the length of the perpendicular side.

Area of a Right Angle Triangle = ½ (Base x Height)

·Area of an Equilateral Triangle

Specifically, a triangle having all sides equal in length is called an equilateral triangle. The base is divided into two equal pieces by the perpendicular traced from the triangle's vertex to the base. For calculating the area of an equilateral triangle, firstly, measure the length of each of its sides.

Area of an Equilateral Triangle = A = (√3)/4 × side2

·Area of an Isosceles Triangle

Two of the sides of an isosceles triangle are equal, as are the angles opposite the equal sides.

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Area of an Isosceles Triangle = B x h/2

·Area of a Triangle Given Two Sides and the Included Angle  (SAS)

Now, if any two sides and the angle between them are given, then the formulas to calculate the area of a triangle is given by:

  1. Area (?ABC) = ½ bc sin A or  ½ ab sin C or  ½ ca sin B

These formulas are very easy to remember and also to calculate.

For example, If, in ?ABC, A = 30° and b = 2, c = 4 in units. Then the area will be;

Area (?ABC) = ½ bc sin A

= ½ (2) (4) sin 30

= 4 x ½   (since sin 30 = ½)

= 2 sq. Unit.

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Calculator Use in Daily Life.

Triangles are useful architectural tools which provide strength and stability in the design of buildings and other structures. Because of the energy distribution across the triangular area, when building materials are used to make a triangle, the design has a hefty base and the pinnacle on top can handle weight, for a construction of any building structure or project, use this calculator to calculate square footage, yards and meters, or acres. Calculate square footage and in any other unit to estimate area and material requirements for landscape, flooring, carpet, or tiling works. When you enter the price per square foot, per square yard, or per square meter, the amount of material can also be calculated.

Price can be given as $ price: 5.00 per: 1 square unit: foot (ft2), which means $5.00 per 1 square foot, or $ price: 100.00 per: 1000 square unit: foot (ft2), which means $100.00 per 1000 square feet.

How to Calculate Square Footage of Triangle

The term "square footage" points to the amount of space measured in square feet. Similarly, square yardage is the quantification of an area in square yards. A popular unit of area measurement is square meters.

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Assume you have a rectangular location, such as a floor, and you're trying to figure out how much flooring or carpeting you'll need. To calculate the area of a rectangular area in feet squared, first measure the area's length and breadth, then multiply those two numbers together (ft2).

Treat an irregular shaped space, such as an L-shape, as two different spaces by separating it into square, rectangle, or triangle sections. Calculate each portion's area separately, then add them together to get the total.

Conversion Factors

If you want to calculate in feet skip to "Calculate the acres to Square Feet"

Unit of measurement is in feet & inches, divide inches by 12 and sum that to your feet measure to get the final result.

You can also measured in another unit of measure, do the following to convert to feet
- inches: divide by 12 and that is your measurement in feet
- yards: multiply by 3 and that is your measurement in feet
- centimeters: multiply by 0.03281 to convert to feet
- meters: multiply by 3.281 to convert to feet

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Author Biography.

Muhammad Osama
Muhammad Osama

Content Writer

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