GEOMETRY, 2008

 PAGE: 452 SET: Exercises PROBLEM: 6

Graph the coordinate plane and locate the points A and B.   lies on vertical gridline.

Since triangle ABD has right angle at B is perpendicular to .

Find the length of from the graph.

Since is the shorter leg, is the longer leg.

Triangle ABD  is a 30°- 60°- 90° triangle.

The 30°- 60°- 90° triangle has the property that the length of its longer leg is

times to the length of the shorter leg.

(Substitute AB = 3)

(Multiply)

The x-coordinate of the point D is  or 13.2.

The y-coordinate of the point D is as same as y-coordinate of the point B.

The coordinates of the point D are or about .

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