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In triangle RST U lies on segment TS with TU:US=2:3. M is the midpoint of segment RU Ray TM intersects segment RS in V. Find the ratio RV:RS

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There was no diagram

2007-01-04 14:17:58 · 3 answers · asked by Anonymous in Science & Mathematics Mathematics

3 answers

Draw a perpendicular to ST thru M.

Then note that RS can be thought of as the equation

RS: y = x + 1
TV: (-5/2)x

Subtracting we get

0 = (7/2)x +1
x = -2/7
y = x + 1 = -2/7 + 1 = 5/7

Therefore the ratio of

RV/RS = (1 - 5/7)/1 = 2/7

This is hard to explain without a diagram. It will work even if the triangle is not a right triangle if we allow for the length of a unit in the x direction to be different than a unit in the y direction and we allow for the axes not to be perpendicular.

2007-01-04 18:19:31 · answer #1 · answered by Northstar 7 · 0 0

Oh wow I have no idea.. I made a diagram but I can't figure it out!
grr... well here's the diagram:

http://i31.photobucket.com/albums/c392/teekshi33/diagram.jpg

Sorry I couldn't be of more help!

2007-01-04 14:32:25 · answer #2 · answered by teekshi33 4 · 0 0

im not doin yo homework for u!!

2007-01-04 14:20:08 · answer #3 · answered by Anonymous · 0 2

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