Question

explain the following and illustrate your ansers using constructions,label your figures (i) an orthocentre of a triangle (ii) an altitude of a triangle (iii) median of a triangle (iv) centroid of a triangle

Answer 1

ii) The points where the two attitudes intersect is the orthocentre of the triangle. (fig 6) Optional step 12 : Repeat steps 8, 9, 10 on the third side of the triangle. This will help convince you that all three altitudes do infact intersect at a single point. But two altitudes are enough to find that point. An Altitude of a triangle :- An altitude of a triangle is a line which passes through a vertex of a triangle and meets the opposite side of right angles. construction:- We start with an acute triangle PQR 1) choose one side of the triangle and extend it is both directions.

orthocentre page 2

altitude of a triangle

median and centroid page 1

median and centroid page 2