Mathematics
Draw a triangle ABC, given that BC = 4 cm, ∠C = 75° and that radius of circumcircle of △ABC is 3 cm.
Answer
Steps of construction :
Draw a line segment BC = 4 cm.
Draw the perpendicular bisector of BC.
From B, draw an arc of 3 cm which intersects the perpendicular bisector at O.
Draw a ray CX making an angle of 75°.
With centre O and radius 3 cm draw a circle which intersects the ray CX at A.
Join AB.
Hence, the required triangle ABC is formed.
Related Questions
Draw a regular hexagon of side 3.5 cm. Construct its circumcircle and measure its radius.
Construct a triangle ABC with the following data :
AB = 5 cm, BC = 6 cm and ∠ABC = 90°.
(i) Find a point P which is equidistant from B and C and is 5 cm from A. How many such points are there ?
(ii) Construct the inscribed circle of △ABC drawn above.
Using ruler and compasses only, construct an equilateral triangle of height 4 cm and draw its circumcircle.
Using ruler and compasses only :
(i) Construct a triangle ABC with the following data :
BC = 7 cm, AB = 5 cm and ∠ABC = 45°.
(ii) Draw the inscribed circle to △ABC drawn in part (i).