Triangle and Parallelogram of Same Base and Between the Same Parallels

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Figures that lie between two parallel lines such that their bases are common and lie on one of the parallel lines, and the vertices opposite to the base lie on the other parallel line, are said to be figures on the same base and between the same parallels. Parallelograms on the same base and between the same parallels are equal in area. The area of a triangle is equal to half the area of a parallelogram, if they are on the same base and are between the same parallels.

Questions & Answers

1 . Three squares are joined at there corners and strung between two vertical poles as shown. Find the value of x.
Recall that sum of angles of a polygon = (2n - 4) × 90°
Here number of sides, n = 9
Hence the sum of angles of the given pol...
3 . find the area of figure.All corners are right angles.AB= 4 [int]1/4,BC=2[int]3/4,DE=3[int]1/2,EF=4,FG=4[int]1/2...
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4 . find the area of figure in which all corners are right angles
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5 . Find the height of the parallelogram.
Sol:
Perimeter of triangle = ( a + b + c) = (26 + 28 + 30) cm = 84 cm
2 s = 84 cm
s = 42 cm,a =...