Q20 of 168 Page 4

In Fig. 4.221, and segment , show that
(i)

(ii)

In ADC

AC²=AD²+DC²

b²=h²+(a-x)²

b²=h²+a²-2ax+x² ………… (i)

b²=h²+x²-2ax

b²=a²+ (h²+x2)-2ax (from equ.i)

b²=a²+c²-2ax [h²+x²=c²]

In right-angled triangle ABC in which, if D is the mid-point of BC, prove that .

In Fig. 4.220, D is the mid-point of side BC and . If BC = a, AC = b, AB = c, ED = x, AD = p and AE = h, prove that:

(i) (ii)

(iii)

In , is obtuse, and . Prove that:

(i)

(ii)

In a right right-angled at C, if D is the mid-point of BC, prove that .

In Fig. 4.221, and segment , show that(i) (ii)