Advertisements
Advertisements
Question
Draw an acute angled Δ PQR. Draw all of its altitudes. Name the point of concurrence as ‘O’.
Solution
Steps of construction:
- Draw any acute angled ∆ PQR.
- With P as centre, draw an arc that cut the side QR at X and Y.
- 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.
- Join PA that intersects QR at L. So, PL is the altitude on side QR.
In the same manner, draw QM⊥PR and RN⊥PQ.
Hence, ∆PQR 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.
RELATED QUESTIONS
Draw rough sketch for the following:
In ΔABC, BE is a median.
Draw rough sketch for the following:
In ΔPQR, PQ and PR are altitudes of the triangle.
In Δ LMN, _____ is an altitude and _____ is a median. (write the names of appropriate segments.)
Draw a right angled Δ XYZ. Draw its medians and show their point of concurrence by G.
Name the orthocentre of ∆PQR
The sides of a right angled triangle are in the ratio 5 : 12 : 13 and its perimeter is 120 units then, the sides are ______________
How many altitudes does a triangle have?
Which of the following figures will have it’s altitude outside the triangle?
The ______ triangle always has altitude outside itself.
Median is also called ______ in an equilateral triangle.
