Draw an acute angled triangle PQR. Draw all of its altitudes. Name the point of concurrence as 'O'.

To do :

We have to draw a triangle PQR  and its Altitudes.

Solution :

Steps of construction:

1. Draw an acute angled triangle PQR with the help of a ruler.

2. With P as the centre draw an arc that cuts the side QR at points X and Y.

3. With X as the centre and radius more than half of XY, draw an arc below QR. With Y as the centre and the same radius  draw another arc that cuts the previous arc at A.

4. Join PA that intersects QR at L. Thus, PL is the altitude on the side QR.

Similarly, draw QM perpendicular to PR and RN perpendicular to PQ.

Therefore,

Triangle PQR is the required triangle with altitudes PL, QM and RN on sides QR, RP and PQ respectively. O is the point of concurrence of the altitudes. 

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Updated on: 10-Oct-2022

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