2. In the following figure, a triangle and a trapezium have equal bases and equal areas. Find the length of the other parallel side of the trapezium 13 cm 14 em 7 cm 15 cm.
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Answer:
9 inches
Let the altitude of both the Geometrical figure be h
As the Base of triangle is 18
∴ Area of △=
2
1
×18×h
Area of Trapezoid =
2
1
×(SumofparallelSide)×h
∵ Both the areas are equal by equating the area we get,
⟹
2
Sumofparallelside
×h=
2
1
×18×h
⟹
2
Sumofparallelside
=9inches
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