Question 705897: PLEASE help. I am stuck on this question!!!!!!!!!!!!!
The plane x+ 2y +2z=4 intersects the positive coordinate axis OX,OY and OZ in three points A,B and C respectively.
A.) find the coordinates of the three A,B and C.
B.) find the area of the triangle ABC.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The plane x+ 2y +2z=4 intersects the positive coordinate axis OX,OY and OZ in three points A,B and C respectively.
A.) find the coordinates of the three A,B and C.
To find "A":
Let Y and Z = 0
A = (4,0,0)
To find "B"
Let X and Z = 0
B = (0,2,0)
To find "C":
Let X and Y = 0
C = (0,0,2)
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B.) find the area of the triangle ABC.
Find the length of the 3 sides.
Use Heron's formula:: Area = sqrt[s(s-a)(s-b)(s-c)] where s = (a+b+c)/2
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Cheers,
Stan H.
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