Online Course Discussion Forum

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.