if the area of trapezium square centimetre and length of the parallel sides are 8 cm and 12 CM respectively what is the distance between the parallel sides
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This looks like a math homework question. I will solve your initial problem but using the sides 4, 8 and Area 30 instead.
Area formula for a trapezium (a.k.a trapezoid):
A=b1+b22h
Where A is the total area, b1 and b2 are the parallell sides of the trapezoid, and h is the height of the trapezoid. And we want to know what? Right, the height, or h . So, let’s rewrite the formula:
A=b1+b22h
2A=(b1+b2)h
2Ab1+b2=h
Now let us look at what is known:
A=30
b1=4
b2=8
Finally, insert the numbers:
2⋅304+8=6012=5
Answer: h=5
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