<PRE><B>Question 191545</B>
similar  triangles  means  that  the  sides  are  proportional.


sides  a, b, c,  correspond  to  sides  d,  e,  f

therefore  a/d  =  b/e  =  c/f  or  all  equal  scale  factor  between  triangles.

with  d=4,  we  can  see  that  a / d  equals  3  /  4      (given)

all  other  sides  have  same  scale  factor  (proportion)

math  is    a / d = 3/4  =  6 / e  =  7  /  f

taken  one  at  a  time,   3 / 4 = 6 / e  ,    cross  multiplying,   3 * e  =  4 * 6  =  24,   or  e =  24/3  = 8

likewise   3/4  =  7 / f,    3*f = 4* 7 = 28,  f = 28/3  =  9   1/3</PRE>