Construction of an Equilateral Triangle

Construct an equilateral triangle $XYZ$of side $5 cm$ and construct another triangle similar to $△XYZ$, such that each of its sides is $\frac{4}{5}$ of the sides of $△XYZ$.

With the help of ruler and compass construct an equilateral triangle with its side length as $4.5\mathrm{}\mathrm{c}\mathrm{m}$.

Construct an equilateral triangle with the help of ruler and compass of side length as $3 \mathrm{cm}$.

Construct an equilateral triangle with sides $4 \mathrm{cm}$.

Construct an equilateral triangle with sides $5 \mathrm{cm}$.

Write steps of construction of an equilateral triangle of each side $3 cm$.

We can construct an equilateral triangle, given its side.

Which of the following steps is incorrect while constructing an equilateral triangle one of whose altitudes measures $5 \mathrm{cm}$?

Step I : Draw a line $XY$.

Step II : Mark any point $P$ on it.

Step III : From $P$, draw $PQ\perp XY$.

Step IV : From $P$, set off $PA=5 \mathrm{cm}$, cutting $PQ$ at $A$.

Step V: Construct $\angle PAB=60°$ and $\angle PAC=60°$, meeting $XY$ at $B$ and $C$ respectively.

Then, $△ABC$ is the required equilateral triangle.

A/An _____ Triangle can be constructed when the length of only one side is given.

The correct order of steps of construction of an equilateral $△ABC$ of side $5 \mathrm{cm}$ is

Step $1$: With $C$ as centre and radius $5 \mathrm{cm}$, draw another arc to cut the first arc at $\mathrm{A}$.

Step $2$: We draw a line segment $BC$ of length $5 \mathrm{cm}$.

Step $3$: Join $AB \& AC$.

Step $4$: With $B$ as centre and radius $5 \mathrm{cm}$, draw an arc.

Construct an equilateral triangle whose altitude is $3.5 cm$.

Construct an equilateral triangle each of whose altitudes measures $5.4 cm$.

Construct an equilateral triangle ABC, in which  Perimeter $= 15$cm

Construct an equilateral triangle ABC, in which  Altitude AD $= 4.5$ cm

Construct an equilateral triangle ABC, in which  AB $= 4$ cm

Construct an equilateral triangle of side $6.6 \mathrm{cm}$. Label its vertices as $A, B$ and $C$. From point $C$ draw median $CF$. 

Using scale and compass, construct an equilateral triangle with one side as $4 \mathrm{cm}$ and justify the construction.

Construct an equilateral triangle with perimeter $12\mathrm{cm}$ and Justify the construction.

Construct equilateral triangles having the following sides.

$6.5 \mathrm{cm}$ 

Measure all the angles of each equilateral triangle by using a protractor.

Construct equilateral triangles having the following sides.

$9.6 \mathrm{cm}$ 

Measure all the angles of each equilateral triangle by using a protractor.