Q75
A point D is taken on the side BC of a right-angled triangle ABC, where AB is hypotenuse. Then
A.
AB2 + CD2 = AD2 + BC2
AnswerB.
CD2 + BD2 = 2AD2
C.
AB2 + AC2 = 2AD2
D.
AB2 = AD2 + BC2
Answer: Option A
Solution
Answer: Option A
Solution:
According to question,
In ΔABC
AB2 = AC2 + BC2 . . . . . . . (i)
ΔACD
AD2 = AC2 + CD2
AC2 = AD2 - CD2 . . . . . . . (ii)
Put the value of AC2 in equation (i)
AB2 = AD2 - CD2 + BC2
AB2 + CD2 = AD2 + BC2