SOLUTION: in rectangle abcd side ab measures 6cm and side bc measures 3cm points f and g are on side cd with segment df measuring 1 cm and segment gc measuring 2cm. If lines af and bg inte
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Question 481928: in rectangle abcd side ab measures 6cm and side bc measures 3cm points f and g are on side cd with segment df measuring 1 cm and segment gc measuring 2cm. If lines af and bg intersect at e how many cm^2 are in the triangle aeb?
Plz help asap ^_^
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Construct a perpendicular to segment 
through 
. This will be the altitude of the triangle in question. Label the point of intersection of this perpendicular with segment as 
and then label the intersection of 
and 
as 
.
Note that the measure of 
and 
means that the measure of 
.
Since the measure of 
is one-half the measure of , the measure of 
must be one-half the measure of 
. Further, the measure of must be equal to the measure of 
given as 3. Therefore the altitude is 6.
Calculate the area of a triangle with base measure of 6 and altitude of 6.
John
My calculator said it, I believe it, that settles it
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