Area value of the triangle

A

A13235378

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Let ABC be a triangle plotted on the Cartesian plane, with C as the vertex of the right angle. It is given that the hypotenuse measures 60 units in length and the medians for A and B are, respectively, on the lines y = x + 3 and y = 2x + 4. Find, in area units, the area value of the triangle ABC.
 
You stated the problem nicely. Thank you. Now can you please tell us what type of help you need so that we can help you?
 
Jomo said:
You stated the problem nicely. Thank you. Now can you please tell us what type of help you need so that we can help you?
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Sorry for my English, I'm Spanish. I made the intersection of the two lines and find the barycenter. Then I adopted values for points A, B and C, but then I crashed because I saw that there would be many unknown letters. I was wondering if there is a quick way to solve it.
 
A13235378 said:
Sorry for my English, I'm Spanish. I made the intersection of the two lines and find the barycenter. Then I adopted values for points A, B and C, but then I crashed because I saw that there would be many unknown letters. I was wondering if there is a quick way to solve it.
Click to expand...
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