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.
A tangent touches the circle at exactly one point and every other point of the tangent lies outside the circle. A point inside the circle lies on no such line, because any line through an interior point cuts the circle in two points.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
From a point on the circle exactly one tangent can be drawn, and from an external point exactly two.
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
Construct a regular hexagon of side 4 cm and draw its circumscribed circle. State the radius of that circle.
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 circle of radius 4 cm and, from a point 7 cm from its centre, construct the two tangents to the circle. State the length of each tangent.
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 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