Homework Help: math

Posted by m on Sunday, July 19, 2009 at 4:28am.

: Hi helper, thanks for the help, this website is very good and it would not of been possible without your assistance.
Here is a question i would like you to solve for me this time

.......................................

let ABC be a triangle. Two straight lines which are parallel to the side AC divide the triangle into three figures of equal are. In what parts is the side AB divided by the lines, if AB= 10 cm

math - MathMate, Sunday, July 19, 2009 at 10:25am
Let the parallel lines DD' and EE' cut BA at D,E and BC at D', E'. Thus the sides BA and BC are now named BDEA and BD'E'C.

The question requires that the figures BDD', DD'E'E, and EE'CA have the same area. Thus the area of the triangles BDD', BEE' and BAC are in the ratio of 1, 2 and 3.

The area of similar triangles are proportional to the square of the sides, so
(BD/BA)²:(BE/BA)²:(BA/BA)²
=(1/3):(2/3):(3/3)

Therefore
BD=BA sqrt(1/3)
BE=BA sqrt(2/3)

Answer this Question

Related Questions

Biology - Without the invention of the microscope, would the cell theory have ...
Website.need it please! - Can any one help me to find which website is good for ...
English game - Hell. Thank you for this website. I'd like to find a good ...
history - can someone help me write a thesis statement about susan B. Anthony ...
math - Would this be a good resource for my students? This website? Yes, I ...
Holidays - Thanks a lot for helping me with physics and other subjects. Happy ...
Science - What is a good website to find interesting facts? Can you please give ...
trig - hi, I have a placement test coming up tomorrow, and I'm pretty ...
Interview/Questions (URGENT) - Okay, I have to interview my partner for this ...
English - No smoking = Do not smoke here. No parking = Do not park here. No ...

For Further Reading

First Name:
School Subject:
Answer: