Construct a triangle ABC with BC = 6 cm, angle B = 60° and AB = 5 cm, then construct the perpendicular from A to BC.
Constructions
Original Khojo Papers practice question — not from a past board paper.
Each tangent is √(49 − 16) = √33 ≈ 5.74 cm long.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Draw the circle, join the centre O to the external point P, draw a circle on OP as diameter, and join P to the two points where that circle cuts the given circle. Those lines are the tangents, because the angle in a semicircle makes the radius perpendicular to them.
From the same topic and chapter, at a similar level.
Construct a triangle ABC with BC = 6 cm, angle B = 60° and AB = 5 cm, then construct the perpendicular from A to BC.
Constructions
Why can a tangent not be constructed from a point inside a circle?
Constructions
Construct a triangle with sides 5 cm, 6 cm and 7 cm and then construct its incircle. State how the centre and the radius are found.
Constructions
Construct a triangle ABC with AB = 6 cm, BC = 7 cm and CA = 5 cm, and then construct its circumcircle. State how the centre is found.
Constructions
Construct a regular hexagon of side 4 cm and draw its circumscribed circle. State the radius of that circle.
Constructions
Construct a circle of radius 3 cm and mark a point P on it. Construct the tangent to the circle at P and justify the construction.
Constructions