Question

If a/b : c/d, then prove that (a+b) : (c + d) =whole root a^2 +b^2 :whole root c^2 + d^2.

Guys somebody answer..​

Answer 1

Step-by-step explanation:

a c

__ = __

b d

adding 1 to both sides

a+b c+d

___ = ____

b d

a+b b

___ = __ ---------A

c+d d

a c

__ = __

b d

square on both sides

a^2 c^2

___ = ____

b^2 d^2

adding 1 both sides

a^2+b^2 c^2+d^2

_______ = _______

b^2 d^2

b^2 a^2 + b^2

___ = ________

d^2 c^2 + d^2

taking square root on both sides

b sqrt(a^2+b^2)

__ = ___________ ---------B

d sqrt(c^2+d^2)

substitute b/d from equation A in B

a+b sqrt(a^2+b^2)

___ = ____________

c+d sqrt(c^2+d^2)