# Construction of an equilateral triangle

## What are the steps to construct an equilateral triangle?

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

## Why are circles used to construct equilateral triangles?

How does construction of a circle ensure that all relevant segments are of equal length? The radius of equal-sized circles , which must be used in construction of an equilateral triangle , does not change. This consistent length guarantees that all three side lengths of the triangle are equal.

## What defines an equilateral triangle?

An equilateral triangle is a triangle with all three sides of equal length , corresponding to what could also be known as a “regular” triangle .

## How do you construct parallel lines?

How to Construct Two Parallel Lines The first thing you do is draw a straight line . It can be any length. Step 2: Steps Two & Three. Place the stylus of the compass on the point, and swing the compass down to make two marks on the line . Step 3: Step Four & Five. Connect these 3 points, and now you have 2 parallel lines !

## How many equilateral triangles are there in a circle?

Multiplying the unit circle of 3.14159 squares by 2.309401 triangles /square, we get 7.255197 or 7 ¼ equilateral triangles . (Multiplying that by the synergetics constant for two dimensions, 9/8, we get a rational number of 8 equilateral triangles.)

## How do you construct an equilateral triangle with a side of 6 cm?

Construct a equilateral triangle with side 6cm long Make a line AB of 6 cm with the help of ruler. Take the compass with pencil in it. extend it to 6cm with the help of ruler. Now keep the compass on A and make an arc. Now again keep the compass on B and make an arc which will intersect the first arc.

## How do you identify an equilateral triangle?

Identifying equilateral triangles An equilateral triangle has three equal sides and three equal angles (which are each 60°). Its equal angles make it equiangular as well as equilateral .

## What are types of triangle?

What are the types of triangle? The sum of angles in any triangle is 180°. An equilateral triangle has three equal sides and angles . An isosceles triangle can be drawn in many different ways. A right-angled triangle has one 90° angle . A scalene triangle has three different angles and none of its sides are equal in length.

## What is the height of an equilateral triangle?

Equilateral triangles have sides of all equal length and angles of 60°. To find the height , we can draw an altitude to one of the sides in order to split the triangle into two equal 30-60-90 triangles . Now, the side of the original equilateral triangle (lets call it “a”) is the hypotenuse of the 30-60-90 triangle .

## What 3 angles make a triangle?

In a Euclidean space, the sum of angles of a triangle equals the straight angle (180 degrees, π radians, two right angles , or a half-turn). A triangle has three angles , one at each vertex, bounded by a pair of adjacent sides.