in trap sim if h is height A and B are the parallel sides of trapezium then area of trapezium is
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in trap sim if h is height A and B are the parallel sides of trapezium then area of trapezium is
Answered by
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Answer:
ABCD is a trapezium.
Draw two perpendiculars from C and D on side AB intersecting AB at points O and N respectively.
∴□ONCD is a rectangle and △AOD & △BNC are triangles.
Also, △AOD≅△BNC
Area of rectangle □ONCD=ON×OD
Area of △AOD =
2
1
×AO×OD
Area of □ABCD = Area (□ONCD) + 2 × Area (△AOD)
=(ON×OD)+2×
2
1
×AO×OD
=
2
OD
[2(ON)+2(AO)]
=
2
h
[(ON+2(AO))+ON]
=
2
h
[AB+CD]
=
2
h
×sum of parallel sides
Step-by-step explanation:
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