The length of EF in given trapezoid is 6 cm
Trapezoids are quadrilaterals that have two parallel sides and two non-parallel sides. It is also called a Trapezium. A trapezoid is a four-sided closed shape.
a pair of opposite sides are parallel.
diagonals of trapezium bisect each other.
sum of all four angles of trapezium is = 360°
it has four unequal sides.
diagonals are congruent.
opposite side of an isosceles trapezium are congruent.
According to the question
Trapezoids ABCD and EFGH are similar,
Hence, corresponding sides ratio are equal
Thus, AB/EF = DC/HG
24/x = 30/7.5
30x = 180
x = 180/30
x= 6
Hence, The length of EF is 6 cm
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