two parallel side of
an isosceles trapezium are 31 cm and 15 cm. Its non-parallel sides are each equal to 17 cm . find the area of the trapezium
Answers
Given : Two parallel sides of an isosceles trapezium are 31 cm and 15 cm it's non parallel side are each equal 17 cm.
To find : The area of the trapezium ?
Solution :
Let the trapezium be ABCD, where AB// CD.
Two parallel sides of an isosceles trapezium are 31 cm and 15 cm.
So, AB=15 cm and CD=31 cm.
We draw two perpendiculars from A,B on CD point as E and F.
Refer the attached figure below.
AB=EF=15 cm
So, CE= FD=(31-15)/2=8 cm
The length of non-parallel side i.e. AC=BD=17 cm.
Applying Pythagoras theorem in ΔACE,
The height of trapezium is 15 cm.
The area of the trapezium is
Therefore, the area of the trapezium is 345 cm².
#Learn more
Two parallel side DC and ab of a trapezium are 12cm and 36cm respectively.if non parallel side are each equal to 15cm, find the area of trapezium.
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