How do you construct an equilateral triangle with a side of 3 cm?

Solution:

1. Draw a ray AB.
2. With A as center and radius equal to 3 cm, draw an arc to cut ray AB at C such that AC = 3 cm.
3. With C as the center and radius equal to AC (3cm), draw an arc to intersect the initial arc at D.
4. Join AD and DC.
5. Triangle ADC is an equilateral triangle with sides of 3cm each.

What is the formula for finding the side of an equilateral triangle?

Formulas and Calculations for an Equilateral Triangle: Area of Equilateral Triangle Formula: K = (1/4) * √3 * a. The altitude of Equilateral Triangle Formula: h = (1/2) * √3 * a. Angles of Equilateral Triangle: A = B = C = 60 degrees. Sides of Equilateral Triangle: a equals b equals c.

What is the easiest way to construct an equilateral triangle among these?

The easiest way is to use a protractor to draw three 120° angles around the center of the circle, and then connect the three points on the circle where the three angles intersect the circumference. That will result in an inscribed equilateral triangle.

How do you construct a 5cm equilateral triangle?

Steps of construction of a triangle:

1. Draw a line segment BC of length 5cm.
2. Measure distance of 5 cm in compass.
3. Taking C as center with the same distance i.e. 5 cm draws another arc in such a way that intersects the first arc we drew.
4. Both the arcs intersect each other; name that point of intersection as A.

What do you need to be given in order to draw an equilateral triangle with a compass?

1. Place your compass point on A and measure the distance to point B.
2. Without changing the span on the compass, place the compass point on B and swing the same arc, intersecting with the first arc.
3. Label the point of intersection as the third vertex of the equilateral triangle.

How do you construct an equilateral triangle with side 4 cm?

1. Draw a line segment BC=4cm.
2. With B as centre and radius of 4cm, draw an arc.
3. Similarly, with C as centre and radius of 4cm, draw another arc to intersect the previous arc at A.
4. Join AB and AC.
5. ABC is the required equilateral triangle.
6. Draw the perpendicular bisector of the sides of the triangle.