Q104
In ΔABC, if AD ⊥ BC, then AB2 + CD2 is equal to
A.
2BD2
B.
BD2 + AC2
AnswerC.
2AC2
D.
None of these
Answer: Option B
Solution
Answer: Option B
Solution:
According to question,
Given :
AD ⊥ BC
∴ In ΔADB
AB2 = BD2 + AD2
AD2 = AB2 - BD2 . . . . . . . . (i)
In ΔADC
AC2 = AD2 + CD2
AD2 = AC2 - CD2 . . . . . . . (ii)
Compare equation (i) and (ii)
AB2 - BD2 = AC2 - CD2
AB2 + CD2 = BD2 + AC2