Math Construction S.2, 3, 4 Caltec S.2

CONSTRUCTION Using a ruler and pencil and a pair of compass only. i)Construct triangle ABC where angle ABC = 33.75 ,BC = 7.5cm and AC = 8cm. measure and state length AB, angle BAC. ii) Draw a circle circumscribing triangle ABC. Find the area of the circle Using a ruler a pair of compasses and a pencil only: Construct a triangle PQR such that PQ = 8cm, angle PQR = 750 and the angle RPQ = 450. Construct the perpendicular from R onto PQ to meet it a M. measure the length RM and determine the area of triangle PQR. Draw a circumcircle and measure its radius. .(a) By using a ruler and a pair of compass only, construct a quadrilateral ABCD in which AB = AC = AB = 8cm, angle ABC = 60°, and BAD = 120°. Bisect angle ACB, let the bisector meet AB at E – and DA produced at F. Construct a circle to circumscribe triangle AEF. (b) (i) Measure the distance from the centre of the circle 0 to the point A. (ii) Measure angle BFE.