Let ABCD be a Trapezium in …
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Govind Singh 7 years, 11 months ago
Let ABCD is the trapezium and h is the height which is required to be found.
Let AB=11 cm, CD=6 cm and AB is parellel to CD.
Let distance between foot of perpendicular h and A is X.
So distance between B and foot of 2nd perpendicular from C=11–6-x=5-x.
There are 2 rt. angled triangles.
Applying Pythogorous theorem,
For one triangle,
h^2=3^2-x^2 .........(1)
For 2nd triangle,
h^2=4^2-(5-x)^2 ........(2)
From (1)&(2), x=1.8 cm and
required h=2.4 cm
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