![]() Once you have completed these steps, you should now have an isosceles right triangle □. ![]() Repeat the above step from point b to point c.The b is the base and the h is the height. Use your ruler and pencil to draw a line from point a to c. The area of an isosceles triangle is calculated using the isosceles formula which is (1/2)bh.Name the point where the arc passes through the perpendicular line c.Place your compass at o and draw an arc that cuts line ab at both ends and the perpendicular line at one end. The Sine Rule can be used in any triangle (not just right-angled triangles) where a side and its opposite angle are known.Label the point where the two lines now bisect each other, o.Using your ruler and pencil, draw a line through the points where the arcs intersect.These two arcs should intersect at the top and bottom. Place your compass on point b and, extending the drawing end a little beyond the center of the line, draw another large arc as you did before.Draw a point on the other end of the line with your pencil.This common ratio has a geometric meaning: it is the diameter (i.e. Place your compass on the point marked a, and extending the drawing end a little beyond the center of the line, draw an arc that cuts through the line and extends upwards, creating a half-circle. Recall from the Law of Sines that any triangle has a common ratio of sides to sines of opposite angles.Use your ruler to draw a horizontal line on the page.Now that you have the tools you need, let's get started: To construct a right isosceles triangle, you will need your book, a ruler, and a compass.
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