16. (i) Show that the area of AABD: ACBD = |ADI: IDCI. (ii) ABCD below is...
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16. (i) Show that the area of AABD: ACBD = |ADI: IDCI. (ii) ABCD below is a trapezium. Prove that Area c = Area d. (iii) Hence show that the area of the trapezium ABCD = Area a + Area b + 2√ Area a. Area b. ICT: Using suitable computer software, similar trapeziums can be drawn with diagonals as shown. This area formula can then be verified by using the software to calculate the separate areas. A B D D Area a Area c Area d Area b C C B 16. (i) Show that the area of AABD: ACBD = |ADI: IDCI. (ii) ABCD below is a trapezium. Prove that Area c = Area d. (iii) Hence show that the area of the trapezium ABCD = Area a + Area b + 2√ Area a. Area b. ICT: Using suitable computer software, similar trapeziums can be drawn with diagonals as shown. This area formula can then be verified by using the software to calculate the separate areas. A B D D Area a Area c Area d Area b C C B
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