Problem 7

Due in DSC 203 by 3 PM, Friday February 23, 2001



A point P is chosen in the interior of a triangle $\triangle ABC$ so that when lines are drawn through P parallel to the sides of the triangle $\triangle ABC$, the resulting smaller triangles t1,t2 and t3 in the figure, have areas 4, 9 and 49, respectively. Find the area of the triangle $\triangle ABC$


\begin{picture}(4623,4725)(0,-10) \drawline(150,300)(4275,300)(525,4425)(150,300... ...(750,3000){$t_2$ } \put(1850,2700){$t_1$ } \put(1950,1200){$t_3$ } \end{picture}


Solutions, questions and/or comments should be directed to Judy Downey or Griff Elder


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Last modified:   Sun Feb 11 17:59:50 CST 2001