Question

Draw $△PQR$ with $PQ=4cm,QR=3.5cm$ and $PR=4cm$.

What type of triangle is this?

Answer 1

To construct:

$△PQR$ in which $PQ=4cm,QR=3.5cm$ and $PR=4cm$
Steps of construction:
(a) Draw a line segment $QR=3.5cm$
(b) Taking $Q$ as centre and radius $4cm$, draw an arc.
(c) Similarly, taking $R$ as centre and radius $4cm$, draw an another arc which intersects first arc at $P$
(d) Join $PQ$ and $PR$
It is required $△PQR$ is formed.

In $△PQR,PQ=PR=4cm$

i.e., two sides are equal lengths.

So, $△PQR$ is an isosceles triangle.