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+a24 (ii) c2=p2-ax+a24 (iii)b2+c2

In Fig. 4.220, D is the mid-point of side BC and $A E ⊥ B C$ . If BC=a,AC=b,AB=c,ED=x, AD=p and AE=h, prove that $(i) b^{2} = p^{2} + a + \frac{a^{2}}{4} (i i) c^{2} = p^{2} - a x + \frac{a^{2}}{4}$ $(i i i) b^{2} + c^{2}$

Mixed-up sentence exercise

Put the parts in order to form a sentence. When you think your answer is correct, click on "Check" to check your answer. If you get stuck, click on "Hint" to find out the next correct part.