Mathematics and Mathematical Literacy - Thutong

Mathematics(NSC)/Grade 11/ P2 26 ExemplarQUESTION 9The diagram alongside looks very similar to that for theTheorem of Pythagoras, except that the central triangle isnot right-angled.On each side of a triangle (with angles x, y and z) a squarehas been drawn. The outer corners of the three squareshave been joined as shown to make three more triangles.DEAcxBzbFayCGKH9.11Complete the formula: area of Δ ABC = bc...............2(1)9.2 Show that area ΔDAK = area ΔABC .(3)9.3 State with reasons what will be the relationship between the areas of ∆DAK and∆EBF. (2)[6]QUESTION 10On the beach you find 10 shells and measure their lengths. These lengths are given in thetable below.Length (cm) ( x)3,23,65,04,14,34,73,45,24,64,3x i− ( x x) 2i−10.1 Calculate the mean length of these ten shells. (2)Copyright reserved