Question

Draw a rough sketch of $∆PQR$. Draw all its altitudes and mark the orthocentre as O.

Answer 1

Step 1: Drawing a $∆PQR$.

Step 2:Drawing all the altitudes of the triangle.

An altitude of a triangle is the perpendicular drawn from the vertex to the opposite base. We can draw three altitudes $\overline{PX}$,$\overline{QY}$ and $\overline{RZ}$ where $\overline{PX}$$\perp \overline{QR}$,$\overline{QY}\perp \overline{PR}$ and $\overline{RZ}\perp \overline{PQ}$ as shown in the figure.

Step 3: Marking the orthocenter as O.

The point of intersection of all the altitudes in a triangle is called its orthocenter. Point O is the orthocenter of the triangle $∆PQR$.