Number three was a little technical so I thought maybe I'd toss out a hint. Construct lines AP, BP and CP. These three lines, together with line segments a, b and c, divide the equilateral triangle into six smaller triangles. Calculating the area of them, and doing a lot of algebra, should get you where you need to go.

That worked for me! Thanks for the advice!

For number three, couldn't you just extend line segment DE to an infinite line and then use BF 5 to prove that angle A = angle D and angle B = angle E? [[ ok, I still can't get it. I've tried every area in the world here. But what is odd is getting to the equation a + b + c = d. Another hint?? finally got it. pretty easy once you get the hang of it. Which is the way most of these are HW2no5




Back to Homework Discussion Page

Back to Prof. Walther MA460 page.

Alumni Liaison

Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett