(i) If A = find A ² . If A ² = p A, then find the value of p

(ii) Solve the given equation x ² − 4x − 2 = 0 and express your answer correct to two places of decimal. (You may use mathematical tables for this question).

(iii) In the given diagram, ∆ABC is right angled at B. BDFE is a rectangle. AD = 6 cm, CE = 4 cm and BC = 12 cm
(a) prove that ∆ADF ~∆FEC
(b) prove that ∆ADF ~∆ABC
(c) find the length of FE
(d) find area ∆ADF : area ∆ABC

Solution

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