| ||Use just your compass and also straight edge when drawing a building. No free-hand drawing!|
We will be doing THREE constructions of an equilateral triangle. The first will certainly be to construct an equilateral triangle provided the size of one side, and the other 2 will be to construct an equilateral triangle inscribed in a circle.
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STEPS: 1. Place your compass suggest on A and measure the distance to point B. Swing an arc of this size above (or below) the segment. 2. Without transforming the span on the compass, area the compass suggest on B and also swing the very same arc, intersecting via the first arc. 3. Label the point of interarea as the third vertex of the equilateral triangle.
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See the full circles at work-related.
Proof of Construction: Circle A is congruent to circle B, considering that they were each formed using the same radius length, AB. Since AB and AC are lengths of radii of circle A, they are equal to one an additional. Similarly, AB and also BC are radii of circle B, and also are equal to one an additional. Therefore, AB = AC = BC by substitution (or transitive property). Due to the fact that congruent segments have actually equal lengths,