The lengths of two parallel sides of a trapezium are 10 cm and 15 cm. The lengths of other two sides are 4 cm and 6 cm. How will you find out the area and magnitudes of 4 angles of the trapezium?

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Answer 1 · 2016-06-24T11:07:58

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so, from the figure, we know:

#h^2 +x^2 = 16# ................(1)

#h^2+y^2 = 36# ................(2)

and, #x+y = 5# ................(3)

#(1)-(2) => (x+y)(x-y)= -20\ #

#=>y-x = 4# (using eq. (3))..... (4)

so, #y = 9/2 # and #x = 1/2#

and so, #h = sqrt63/2#

From these parameters the area and the angles of the trapezium can be obtained easily.