Question

Draw $\Delta \mathrm{PQR}$ with $\mathrm{PQ}=4\mathrm{cm},\mathrm{QR}=3.5\mathrm{cm}$ and $\mathrm{PR}=4\mathrm{cm}$. What type of triangle is this?

Answer 1

Step 1. Draw $\Delta \mathrm{PQR}$ with $\mathrm{PQ}=4\mathrm{cm},\mathrm{QR}=3.5\mathrm{cm}$ and $\mathrm{PR}=4\mathrm{cm}$.

Draw a line segment $\mathrm{QR}=3.5\mathrm{cm}$:

With $\mathrm{Q}$ as center, draw an arc of radius $4\mathrm{cm}$:

With $\mathrm{R}$ as center, draw an arc of radius $4\mathrm{cm}$:

Let $\mathrm{P}$ be the point where the two arcs intersect. Join $\mathrm{PQ}$ and $\mathrm{QR}$ and label the sides:

Step 2. Identity the type of a triangle.

Since, two sides are equal.

If two sides of a triangle are equal then the triangle is isosceles triangle

Hence, the triangle is isosceles triangle.