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December 22, 2014

December 22, 2014

Posted by **Knights** on Wednesday, February 27, 2013 at 10:07pm.

How is this even going to be done? We are given little info but a bunch of variables. Could someone help please??

- analytic geometry helps are appreciated -
**Sarah**, Wednesday, February 27, 2013 at 10:16pmSo the "legs" of the triangle would be 2 I believe. And the area of a triangle is (Length*Width)/2. So I think the area should be 2units^2. I'm not sure if that's what you were asking.

- analytic geometry helps are appreciated -
**drwls**, Wednesday, February 27, 2013 at 10:27pmThe line can pass by the origin on the right or the left, but the answer will be the same. The sloped line will be the hypotenuse of a triangle whose other two sides are segments of the x or y axes, ending at the origin.

The angles of the triangle are 71.56 degrees (arctan3), 90 degrees, and 18.44 degrees.

The length of the side opposite the small angle is 2/sin18.44 = 6.32

The length of the hypotenuse is

6.32/cos18.44 = 6.66

The area of the triangle =

(1/2)*(hypotenuse)*(height)

= 4.44 square units

- analytic geometry(correction) -
**drwls**, Thursday, February 28, 2013 at 2:38amI must have punched some wrong keys on my calculator

The area of the triangle is

(1/2)*(hypotenuse)*(height)

= 6.66 square units

since the height (distance of the line from the origin) is 2 units.

- analytic geometry helps are appreciated -
**Knights**, Thursday, February 28, 2013 at 7:35amthank you very much it helps a lot!!!

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