Table of Contents

- 1 How do you bisect an equilateral triangle?
- 2 How do you construct a 5cm equilateral triangle?
- 3 How do you construct an equilateral triangle with a side of 5 cm?
- 4 What happens when you bisect an equilateral triangle?
- 5 How to calculate the size of an equilateral triangle?
- 6 How are the angles of an equilateral triangle congruent?

## How do you bisect an equilateral triangle?

The perpendicular drawn from vertex of the equilateral triangle to the opposite side bisects it into equal halves. Also the angle of the vertex from where the perpendicular is drawn is divided into two equal angles, i.e. 30 degrees each.

**What should be drawn first in constructing an equilateral triangle?**

The first will be to construct an equilateral triangle given the length of one side, and the other two will be to construct an equilateral triangle inscribed in a circle.

### How do you construct a 5cm equilateral triangle?

Steps of construction of a triangle:

- Draw a line segment BC of length 5cm.
- Measure distance of 5 cm in compass.
- 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.
- Both the arcs intersect each other; name that point of intersection as A.

**How do you draw a equilateral triangle of 4cm?**

Steps of construction:

- Draw a line segment BC = 4 cm.
- Taking B as a centre and radius 4 cm, draw an arc above BC.
- With same radius and centre C, draw an arc which cut the previous arc at A.
- Join AB and AC.
- Hence ABC is the required triangle.

## How do you construct an equilateral triangle with a side of 5 cm?

**What is the equilateral triangle theorem?**

In equilateral triangle all three sides of the triangle are equal which makes all the three internal angles of the triangle to be equal. The Equilateral Triangle has 3 equal angles. The total sum of the interior angles of a triangle is 180 degrees, therefore, every angle of an equilateral triangle is 60 degrees.

### What happens when you bisect an equilateral triangle?

To calculate the height of an equilateral triangle, first draw a perpendicular bisector for the triangle. By definition, this splits the opposite side from the vertex of the bisector in two, resulting in two line segments of length inches.

**How do you construct a triangle with sides 4cm 5cm and 6cm?**

- Draw base AB of side 4cm.
- With A as centre , and 5cm as radius, draw an arc.
- With B as centre , and 6cm as radius ,draw an arc.
- Let C be the point where two points intersect.
- Join AC and BC.

## How to calculate the size of an equilateral triangle?

For equilateral triangles h = ha = hb = hc. If you have any 1 known you can find the other 4 unknowns. So if you know the length of a side = a, or the perimeter = P, or the semiperimeter = s, or the area = K, or the altitude = h, you can calculate the other values. Below are the 5 different choices of calculations you can make…

**Why does drawing an equilateral triangle work?**

It works because the compass width is not changed between drawing each side, guaranteeing they are all congruent (same length). It is similar to the 60 degree angle construction, because the interior angles of an equilateral triangle are all 60 degrees. A Euclidean construction.

### How are the angles of an equilateral triangle congruent?

All the angles in an equilateral triangle are congruent. An equilateral triangle is the one in which all three sides are equal. It is a special case of the isosceles triangle where the third side is also equal. In an equilateral triangle ABC, AB = BC = CA.

**Why are all three sides of an equilateral triangle the same?**

An equilateral triangle is one with all three sides the same length. It begins with a given line segmentwhich is the length of each side of the desired equilateral triangle. It works because the compass width is not changed between drawing each side, guaranteeing they are all congruent(same length).