Exercise 19A

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)...

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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)...

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