In the diagram, segments BG , CF , and DE are parallel. The length of segment BD is 6.32 feet, and the length of segment DE is 6 feet.
Find the lengths of segments BG and CF . BG= feet CF= feet
Part A) . Name
all pairs of similar triangles in the
diagram
the answer is triangle ABG triangle ACF triangle ADE
Part B) Find the lengths of
segment BG we know that AB/BG=AD/DE----------> BG=(AB*DE)/AD DE=6 ft BD=6.32 ft AB=BC=CD=6.32/2----------> 3.16 ft AD=6.32+3.16------> AD=9.48 ft BG=(AB*DE)/AD---------> 3.16*6/9.48----------> BG=2 ft
the answer Part B) is BG=2 ft
Part C) Find the lengths of segment CF we know that AC/CF=AD/DE----------> CF=(AC*DE)/AD AC=6.32 ft DE=6 ft AD=9.48 ft CF=(AC*DE)/AD---------> 6.32*6/9.48----------> CF=4 ft
