Steps for Construction: i) Draw a line segment BC = 5.6 cm ii) With centres B and C, draw two arcs of 5.6 cm radius each which intersect each other at A. iii) And, join AB and AC. iv) Draw angle...
Construct an equilateral triangle ABC with side 6 cm. Draw a circle circumscribing the triangle ABC.
Steps for construction: i) Draw a line segment BC = 6 cm ii) Draw two arcs of radius 6 cm with centres B and C, which intersect each other at A. iii) Then, join AC and AB. iv) Draw perpendicular...
i) Using ruler and compasses only, construct a triangle ABC in which AB = 8 cm, BC = 6 cm and CA = 5 cm. ii) Find its incentre and mark it I.iii) With I as centre, draw a circle which will cut off 2 cm chords from each side of the triangle.
Steps for construction: i) Draw a line segment BC = 6 cm. ii) Draw an arc with centre B and radius 8 cm. iii) Draw another arc with centre C and radius 5 cm which intersects the first arc at A. iv)...
The bisectors of angles A and B of a scalene triangle ABC meet at O. iii) What is the relation between angle ACO and angle BCO?
iii) OC is the bisector of angle C Thus, ∠ACO = ∠BCO
The bisectors of angles A and B of a scalene triangle ABC meet at O. i) What is the point O called? ii) OR and OQ are drawn perpendiculars to AB and CA respectively. What is the relation between OR and OQ?
i) O is called the incentre of the incircle of ΔABC. ii) OR and OQ are the radii of the incircle and OR = OQ.
Perpendicular bisectors of the sides AB and AC of a triangle ABC meet at O.(iii) Does the perpendicular bisector of BC pass through O?
iii) Yes, the perpendicular bisector of BC will pass through O.
Perpendicular bisectors of the sides AB and AC of a triangle ABC meet at O. (i) What do you call the point O? (ii) What is the relation between the distances OA, OB and OC?
i) O is called the circumcentre of circumcircle of ΔABC. ii) OA, OB and OC are the radii of the circumcircle.
Using ruler and compasses only construct a triangle ABC in which BC = 4 cm, ∠ACB = 45o and perpendicular from A on BC is 2.5 cm. Draw a circle circumscribing the triangle ABC.
Steps for Construction: i) Draw a line segment BC = 4 cm. ii) At C, draw a perpendicular line CX and from it, cut off CE = 2.5 cm. iii) Draw another perpendicular line EY from E. iv) From C, draw a...
Using ruler and compasses only, (i) Construct a triangle ABC with the following data: Base AB = 6 cm, BC = 6.2 cm and ∠CAB = 60o (ii) In the same diagram, draw a circle which passes through the points A, B and C and mark its centre as O. (iii) Draw a perpendicular from O to AB which meets AB in D. (iv) Prove that AD = BD
Steps for construction: i) Draw a line segment AB = 6 cm ii) Draw a ray at A, making an angle of 60o with BC. iii) With B as centre and radius = 6.2 cm draw an arc which intersects AX ray at C. iv)...
Using ruler and compasses only, draw an equilateral triangle of side 5 cm. Draw its inscribed circle. Measure the radius of the circle.
Steps for Construction: i) Draw a line segment BC = 5 cm ii) With centres as B and C, draw two arcs of radius 5 cm each which intersect each other at A. iii) Then, join AB and AC. iv) Draw angle...
Using ruler and compasses only. (i) Construct triangle ABC, having given BC = 7 cm, AB-AC = 1 cm and ∠ABC = 45o. (ii) Inscribe a circle in the ΔABC constructed in (i) above.
Steps for construction: A. Construction of triangle: a) Draw a line segment BC = 7 cm b) At B, draw a ray BX making an angle of 45o and cut off BE = AB – AC = 1 cm c) Join EC and draw the...
Using ruler and compasses only, draw an equilateral triangle of side 4.5 cm and draw its circumscribed circle. Measure the radius of the circle.
Steps for construction: i) Draw a line segment BC = 4.5 cm ii) With centres B and C, draw two arcs of radius 4.5 cm which intersect each other at A. iii) And join AC and AB. iv) Draw the...
Draw a circle of radius 4.5 cm. Draw two tangents to this circle so that the angle between the tangents is 60º.
Steps for Construction: i) draw a circle with centre O, with radius BC = 4.5 cm ii) Draw arcs making an angle of 180º – 60º = 120º at O such that ∠AOB = 120º iii) At A and B, draw two rays making...
Draw a circle of radius 5 cm. Draw two tangents to this circle so that the angle between the tangents is 45º.
Steps for construction: i) draw a circle with centre O,with radius BC = 5 cm ii) Draw arcs making an angle of 180º – 45º = 135º at O such that ∠AOB = 135º iii) At A and B, draw two rays making an...
Draw a circle of diameter of 9 cm. Mark a point at a distance of 7.5 cm from the centre of the circle. Draw tangents to the given circle from this exterior point. Measure the length of each tangent.
Steps for construction: i) Taking O as the centre, draw a circle of diameter 9 cm (radius = 4.5 cm). ii) Mark a point P outside the circle, such that PO = 7.5 cm. iii) Taking OP as the diameter,...
Draw a circle of radius 3 cm. Mark a point P at a distance of 5 cm from the centre of the circle drawn. Draw two tangents PA and PB to the given circle and measure the length of each tangent.
Steps for construction: i) Draw a circle with centre O and radius 3 cm. ii) Take a point P from O, such that OP = 5 cm. iii) Now, draw a bisector of OP which intersects OP at M. iv) With centre M,...