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):
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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