two parallel sides of a trapezium are 60 CM and 77cm and the other sides are 25 CM and 26 CM. find the area of the trapezium
candy10:
please anyone answer my question
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HI FRIEND
It can be observed that ABED is a parallelogram.
BE = AD = 60 cm
ED = AB = 25 cm
EC = 77 − BE= 17 cm
For ΔDEC,
Semi-perimeter
25+26+17/2 = 34
Area of triangle = √s(s-a)(s-b)(s-c)
Area of ΔDEC =√34(34-25)(34-26)
(34-17)
[cm2= 204 cm2]
Area of ΔDEC =
1/2 EC x DF
204 = 1/2 x 17 x DF
DF = 408/17 = 24 cm
Area of the trapezium =
1/2 x (AD X BC ) x DF
1/2 x (60+ 77) x 24.
= 1644 cm²
HOPE IT HELPS
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