A segment joins the midpoints of two sides of a triangle.

Find the value of x.

Find the value of y.

Please explain how to reach the answer! Thanks!

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- May 1st 2007, 09:08 AM #1

- May 1st 2007, 10:55 AM #2
It can't be done. The smaller top triangle is similar to the large (overall) triangle, but this will only give you ratios, not specific numbers. The best I can say is that:

(3x + 2)/(10x - 4) = (3y - 18)/([3y- 18] + [2(y - 5)])

or

(3x + 2)/(10x - 4) = (3y - 18)/(5y - 28)

-Dan

- May 1st 2007, 12:48 PM #3

- May 1st 2007, 12:53 PM #4

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Helllo, whytechocolate01!

Ah, those are*midpoints!*

A segment joins the midpoints of two sides of a triangle.

Find the value of x and y.

Theorem: The line segment joining midpoints of two sides of a triangle

. . is parallel to and one-half the length of the third side.

Hence, we have: .3x + 2 .= .½(10x - 4) . → . x = 2

- May 1st 2007, 12:57 PM #5

- May 1st 2007, 01:24 PM #6

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- May 1st 2007, 03:05 PM #7