Question

please help with this ​

Answer 1

Answer:

Steps of construction:

(i) Draw any acute angled APQR. (ii) With P as centre, draw an arc that cut the side QR at X and Y.

(iii) With X as centre and radius more

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

(iv) Join PA that intersect QR at L. So, PL is the altitude on side QR.

In the same manner, draw QMLPR and

RNLPQ.

Hence, APQR is the required triangle with altitudes PL, QM and RN on sides QR, RP and PQ respectively with O as the point of concurrence of all the three altitudes.