Constructing an Equilateral Triangle
The compass width is not changed between drawing each side, so an equilateral triangle has all three sides the same length. It’s similar to the 60 degree angle construction, but the interior angles of an equilateral triangle are all 60 degrees.
The final drawing above depicts an equilateral triangle with the given side length AB and all three sides congruent. PQ, PR, and QR are all congruent to AB and thus all have the same length. See Equilateral Triangle Definition.
Try it yourself
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How do you construct an equilateral triangle without a compass?
If you don’t have a compass, you can draw the triangle without using the circle guide by carefully measuring each side with a ruler; because each angle is related to the length of the sides as described by the Law of Cosines, all the angles will be equal when all the sides are equal.
How do you layout a triangle?
The simplest method is to draw three 120u00b0 angles around the circle’s center with a protractor, then connect the three points on the circle where the three angles intersect the circumference, resulting in an inscribed equilateral triangle.
Can you have a triangle with two right angles?
No, a triangle can never have two right angles because it has exactly three sides and the sum of the interior angles equals 180u00b0, so a triangle with two right angles is impossible.
What is the shortest side of a 30 60 90 triangle?
Explanation: In a 30-60-90 right triangle, the shortest side is half of the hypotenuse, which is opposite the 30 degree angle.
Is it possible to draw an obtuse equilateral triangle?
It is impossible to make an obtuse equilateral triangle because the term “equilateral” refers to a triangle with equal sides.
What does a triangle in a circle mean?
The symbol of a triangle inside a circle is used to represent the group’s male and female elements combining to form a combined holding, containing but also development-promoting ‘parental relationship’ function.
How do you draw a 6 cm equilateral triangle?
Make an equilateral triangle with one side measuring 6 cm.
- Draw BC = 6 cm.
- Draw an arc on one side of BC with B as the center and 6 cm as the radius.
- Draw another arc on the same side of BC with C as the center and 6 cm as the radius to intersect the former arc at A.
- Joint AB and AC.