MATHS [4 marks sum]

Steps of Construction:

(i) Draw an equilateral ∆ RPQ in which PQ = QR = RP = 5.7 cm each.
(ii) From P and Q cut the bisector of ∠P and ∠Q, which intersect each other at point O.
(iii) With P as a center draw an in a circle that touches all the three sides of ∆RPQ.

Steps of Construction:

(i) Draw a triangle XYZ in which XY = YZ = 4.5 cm and ZX = 5.4 cm.
(ii) Draw the bisectors of XZ and YZ which meet at O.
(iii) With O as center and radius OX or OY or OZ draw a circle.
This circle will pass through X, Y and Z.

Steps of Construction:

(i) Draw ∆ABC in which AB = 4.2 cm. BC = 6 cm. and AC = 5 cm.
(ii) Draw the perpendicular bisectors of any two sides of the triangle. Let these intersect at O.
(iii) Taking O as center and OA or OB or OC as radius draw a circle.
This circle will pass through vertices A, B and C.