In right-angled triangle ABC in which
, if D is the mid-point of BC, prove that 
.
We have
∠C=90
and D is the midpoint of BC
In 
ABC
AB2=AC2+BC2
AB2=AC2+ (2CD)2
AB2=AC2+4CD2
AB2=AC2+4(AD2-AC2)
AB2=AC2+4AD2-4AC2
AB2=4AD2-3AC2
18
In right-angled triangle ABC in which, if D is the mid-point of BC, prove that .
We have
∠C=90 and D is the midpoint of BC
In ABC
AB2=AC2+BC2
AB2=AC2+ (2CD)2
AB2=AC2+4CD2
AB2=AC2+4(AD2-AC2)
AB2=AC2+4AD2-4AC2
AB2=4AD2-3AC2