posted by jani on .
points a,b,c,and d lie on a straight line in the given order. AC = 25 cm and BD = 46 cm. The ratio of length CD to AB is 5/2. Find the length of line segment BC in cm.
sorry miss the CD part
ahh, that's better
make a sketch of a line and label point A, B, C, and D
using CD : AB = 5:2
label AB = 2x and CD = 5x , giving you the 5:2 ratio
From AC = 25 you can now label BC as 25-2x
From BD = 46 you can label BC as 46-5x
so obviously 25-2x = 46-5x
x = 7
sub back in either of BC expressions, to get BC = 11
given formula fro "c" : A= one half (h b + b c)
The answer is 11!!!😄😄😄😄😄😃😃😃😃😀😀😀😉😉😉😉😉😀😀😀