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An isosceles right triangle is a 45° 45° 90° triangle. If you know how to construct a right angle (two lines that are perpendicular), then just take a compass, with the point on the intersection of the perpendicular lines, and mark the same distance on each of the perpendicular lines, then use a straight edge to connect those two points.

Or, if you have a square, you can connect two of opposite corners with a diagonal and you will have 2 triangles, both of them isosceles right triangles.

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Q: How do you draw an isosceles right triangle?
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