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HomeTechnologyFormula to calculate the height of a trapezoid: regular, square, isosceles

Formula to calculate the height of a trapezoid: regular, square, isosceles

A trapezoid is a convex quadrilateral with two parallel sides. These are called the two base sides of the trapezoid, the remaining two sides are the two sides.

The height of a trapezoid is the distance from the perpendicular top to the greatest bottom edge. With a square trapezoid, the height of the trapezoid is one side of the trapezoid.

Trapezium

Besides the formula for calculating the area of ​​a trapezoid and the formula for calculating the perimeter of a trapezoid, the formula for calculating the height of a trapezoid is also very important and is very much related to plane geometry problems. The article below will help you know the formula for calculating the altitude of regular trapezoids, isosceles trapezoids and square trapezoids.

Formula to calculate the height of a trapezoid

Trapezoid height

  • h: Height of trapezoid
  • S: Area of ​​trapezoid
  • a: Large base length
  • b: Baby bottom length

The formula for calculating the height of a trapezoid is the area of ​​the two bases multiplied by 2, divided by the total length of the two bases.

h=\frac{S\times2}{a+b}

Example of calculating the height of a trapezoid

Example 1: Given the area of ​​a trapezoid equal to the area of ​​a square with side length equal to 30cm, the total length of the large and small base is 75cm. What is the height of that trapezoid?

Prize:

The area of ​​a trapezoid is equal to the area of ​​a square with sides of 30cm, so the area of ​​a trapezoid will be: 30 x 30 = 900 cm2

The height of a trapezoid is: 900 x 2: 75 = 24 cm

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Example 2: A trapezoid has a small base 60% of the large base, 24cm less than the large base. Ask what the height of the trapezoid is, knowing that the area of ​​the trapezoid is 720cm2.

Prize:

60\%=\frac{60}{100}=\frac{3}{5}

The baby's bottom is: 24 : (5 – 3) x 3 = 36 cm

Big bottom: 24 + 36 = 60

Trapezoid height:

\frac{720\times2}{60+36}=15\ cm

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