A trapezoid is a quadrilateral with two sides parallel. The centroid of a trapezoid lies between the two bases. For any trapezoid with parallel sides a and b, use below given formula.
Find below formula for the centroid of trapezoid located a distance of x,
\[\LARGE x = \frac{b+2a}{3(a+b)}h\]
Where,
h = Height of trapezoid
a, b = Length of parallel sides
Solved Examples
Question 1: Find the centroid of trapezoid with the given dimensions; a = 12′ ; b = 5′ ; h = 5′
Solution: Given,
a = 12′; b = 5′; h = 5′
Using centroid of trapezoid formula,
x =
x =
x = 2.84
Hence, the centroid of the trapezoid is at a distance of 2.84′.
Example 2:
If the parallel sides of trapezoid measures 8 cm, 10 cm and the height 9 cm, then find its centroid.
Solution:
Let a and b be the parallel sides of a trapezoid.
According to the given,
a = 8 cm, b = 10 cm and h = 9 cm
Using the centroid of trapezoid formula,
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