The area of an isosceles trapezium is 176 cmsquare and the height is 2/11th of the sum of its parallel sides . if the ratio of the length of the parallel sides be 4:7,then the length of a diagonal is ???
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let proportionality constant of parellel sides X
so parellel sides are 4/11X and 7/11X
a/c height=2/11X
now
area of trapizium=1/2(4/11X+7/11X).2/11X
176 =X^2/11
X=11x4 =44
so, sides=16cm, 28cm
and height=8cm
now use Pythagoras theorem
diagonal=10cm
so parellel sides are 4/11X and 7/11X
a/c height=2/11X
now
area of trapizium=1/2(4/11X+7/11X).2/11X
176 =X^2/11
X=11x4 =44
so, sides=16cm, 28cm
and height=8cm
now use Pythagoras theorem
diagonal=10cm
abhi178:
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