two parallel sides of an isosceles trapezium are 6 cm and 14 cm respectively if the length of each non parallel side is 5 cm find the area of the trapezium
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the formula for finding area of trapezium is 1/2× sum of The parallel sides x distance between them gives you area of trapezium
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In this trapezium, dividing into one rectangle and two triangle
According to figure,length of rectangle is 6 cm and remaining part of largest parallel side of trapezium is divided into two base(4cm) of right -angled triangle .
Now, by Pythagoras theorem
5²= 4²+P²
25-16= P²
P²=9
P=3cm
Ar. of trapezium= 1/2 × sum of parallel side × distance between parallel side
Ar.of trapezium= 1/2×{6+14}×3
=1/2×20×3
=10×3
= 30cm² Ans.
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