Formula for calculating trapezoid height: regular, square, isosceles

A trapezoid is a convex quadrilateral with two opposite parallel sides, these are called the two bases of the trapezoid, the remaining two sides are the two lateral sides.

The height of a trapezoid is the distance from the perpendicular vertex to the longest side of the base. For a right trapezoid, the height of the trapezoid is one side of the trapezoid.

Besides the formula for calculating the area of ​​a trapezoid , the formula for calculating the perimeter of a trapezoid , the formula for calculating the height of a trapezoid is also very important and related to many plane geometry problems. The following article will help you know the formula for calculating the height of a regular trapezoid, an isosceles trapezoid and a right trapezoid.

Formula for calculating trapezoid height

• h: Height of trapezoid
• S: Area of ​​trapezoid
• a: Large base length
• b: Length of small base

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.

Example of calculating the height of a trapezoid

Example 1 : The area of ​​a trapezoid is equal to the area of ​​a square with a side length of 30cm, the total length of the larger base and the smaller base is 75cm. What is the height of the trapezoid?

Prize:

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

Trapezoid height is: 900 x 2 : 75 = 24 cm

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

Prize:

The small base is: 24 : (5 - 3) x 3 = 36 cm

Large base: 24 + 36 = 60

Trapezoidal height: