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MC II-A HW Questions

 
 
Picture of Derek Wong
MC II-A HW Questions
by Derek Wong - Saturday, October 20, 2018, 8:54 AM
 

I'm not sure how to do 6.22, 6.24, and 6.29. Please help. Thanks

 
Picture of David Reynoso
Re: MC II-A HW Questions
by David Reynoso - Monday, October 22, 2018, 10:49 AM
 

On 22, note CE and AF are medians of $\triangle ABC$. What do you know about the medians of a triangle?

For 24, recall that the ratio of the areas of two triangles with the same height is the ratio of their bases. So, what is $[CBD]/[ABC]$? Can you find other pairs of triangles that have the same height?

On 29,  since $ED$ and $GF$ are parallel to $BC$, $\triangle ADE \sim \triangle AFG \sim \triangle ABC$. Remember also that the ratio of the areas of similar triangles is the square of the ratio of their sides.