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Find the area

Expert replies
by ramyaravindran » Sun Mar 14, 2010 7:43 am
Line A has endpoints (2,2) and (2,-3)
Line B has endpoints (3,1) and (-3,-1)
Line C has endpoints (42,0) and (-100,0)

What is the area of the shape that is bounded by lines A,B and C. I do not have an OA. Can someone help with this.
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Source: — Problem Solving |

by kstv » Sun Mar 14, 2010 8:13 am
The line B passes throught the origin (O) and intersects x axis at (3,0) let this pt be D
A is parallel to y axis and intersects x axis at (2,0) say at pt E
line A and B intersect at the F need the area of triangle OEF
C is the x axis.
the area of triangle BOD a rt angled triangle is DOxBD /2 3*1/2 = 3/2
EF is parallel to BD so EF /BD = OE / OD = OF / OB

the area of traingle OEF is OE x EF/2
2/2*2/3
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by ramyaravindran » Sun Mar 14, 2010 12:08 pm
kstv..I do not follow your explanation about how a triangle can be formed. Is there any way you can explain this via a graph?

Thanks
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by kstv » Mon Mar 15, 2010 10:06 am
To give a rough idea
Attachments
Graph.jpg
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