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Do not use set squares or protractor, but construct a quadrilateral ABCD in which$\angle BAD={{45}^{\circ }}$, $AD=AB=6cm$, $BC=3.6cm$ and $CD=5cm$. Locate the point P on BD which is at the equal distance from BC and CD.
Do not use set squares or protractor, but construct a quadrilateral ABCD in which$\angle BAD={{45}^{\circ }}$, $AD=AB=6cm$, $BC=3.6cm$ and $CD=5cm$. Locate the point P on BD which is at the equal distance from BC and CD.
Class 10 | Frank | Guides | ICSE | Loci | Maths
Do not use set squares or protractor, but construct a quadrilateral ABCD in which$\angle BAD={{45}^{\circ }}$, $AD=AB=6cm$, $BC=3.6cm$ and $CD=5cm$. Locate the point P on BD which is at the equal distance from BC and CD.

Steps of construction:

1.Let’s Draw a line segment $AB=6cm$.

2. With B as a center and radius $6cm$, draw an arc with the help of compass.

3. With C as a center and radius $5.2cm$, draw another arc with the help of compass, cutting the previous arc at A.

4. Now Join AB and AC.

Then, $\vartriangle ABC$ is the required triangle.

5. With B as center and radius measuring more than half of BC, draw arcs  with the help of compass  ,on both sides of BC.

6. With C as center and the same radius as before, draw arcs with the help of compass  ,on both sides of BC, cutting the previous arcs as shown. Join them.

7. Again with B as center and radius measuring more than half of BC, draw arcs with the help of compass on both sides of BC.

8. With A as center and the same radius as before, draw arcs with the help of compass  on both sides of BC, cutting the previous arcs as shown. Join them.

9. With C as center and radius measuring more than half of BC, draw arcs  with the help of compass , on both sides of BC.

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