Q. 64.7( 11 Votes )

# Length of each equal sides of an isosceles triangle in 8 cm and length of base is 5 cm. Let us draw a parallelogram equal in area to that triangle and having one angle of parallelogram is equal to one of equal angle of isosceles triangle and one side is of equal side.

Answer :

Steps of Construction:

1. We draw a triangle ABC of given dimensions.

2. We draw a perpendicular bisector of side BC which intersects BC at D.

3. Join A to D.

4. Draw a line parallel to BC through A by completing the parallelogram ABCQ.

5. From D, construct ∠EDC=∠ABC.

6. ABDE is the required parallelogram.

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