Using ruler and compasses only: i) Construct a ΔABC in which BC = 6cm

1.	Using ruler and compasses only: i) Construct a ΔABC in which BC = 6cm, ∠ABC = 120∘ and AB = 3.5 cm. ii) In the above figure draw a circle with BC as diameter. Find a point P on the circumference of the circle that is equidistant from AB and BC. Measure the ∠BCP.
Answer» Using ruler and compasses only: i) Construct a $Δ$ ABC in which BC = 6cm, $∠$ ABC = 120 $^{\circ}$ and AB = 3.5 cm. ii) In the above figure draw a circle with BC as diameter. Find a point P on the circumference of the circle that is equidistant from AB and BC. Measure the $∠$ BCP.

Using ruler and compasses only: i) Construct a ΔABC in which BC = 6cm, ∠ABC = 120∘ and AB = 3.5 cm. ii) In the above figure draw a circle with BC as diameter. Find a point P on the circumference of the circle that is equidistant from AB and BC. Measure the ∠BCP.

Answer»

Using ruler and compasses only:

i) Construct a $Δ$ ABC in which BC = 6cm, $∠$ ABC = 120 $^{\circ}$ and AB = 3.5 cm.

ii) In the above figure draw a circle with BC as diameter. Find a point P on the circumference of the circle that is equidistant from AB and BC. Measure the $∠$ BCP.

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Using ruler and compasses only: i) Construct a ΔABC in which BC = 6cm, ∠ABC = 120∘ and AB = 3.5 cm. ii) In the above figure draw a circle with BC as diameter. Find a point P on the circumference of the circle that is equidistant from AB and BC. Measure the ∠BCP.

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