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
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:
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