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Construct a rhombus ABCD whose diagonals AC and BD are $8cm$ and $6cm$ respectively. Find by constructing a point P which is at equal distance from AB and AD and also from C and D.
Construct a rhombus ABCD whose diagonals AC and BD are $8cm$ and $6cm$ respectively. Find by constructing a point P which is at equal distance from AB and AD and also from C and D.
Class 10 | Frank | Guides | ICSE | Loci | Maths
Construct a rhombus ABCD whose diagonals AC and BD are $8cm$ and $6cm$ respectively. Find by constructing a point P which is at equal distance from AB and AD and also from C and D.

Steps of construction:

1. Draw a line segment $BC=6cm$.

2. Then, draw perpendicular with the help of scale, $AD=8cm$ to BC.

3. With A as a center and radius $5cm$, draw two arcs with the help of compass , on both sides of line AC.

4. With C as a center and radius $5cm$, draw another two arcs with the help of compass, cutting the previous arcs at B and D both side.

5. Now Join AB, AD, BC and CD.

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