Question

In Fig. 4.220, D is the mid-point of side BC and AE⊥BC . If BC = a, AC = b, AB = c, ED = x, AD = p and AE = h, prove that:
(i)b²=p²+a+a²/4 (ii) c²=p²-ax+a²/4 (iii) b²+c²=2p²+a²/2

Answer 1

(i) In right-angled triangle AEC, applying Pythagoras theorem, we have: (ii) In right-angled triangle AEB, applying Pythagoras, we have: (iii) Adding ...