Let be the pedal triangle of . Excenters of are .
If one of the vertices of is then find the area of .
Details and Assumptions:
Note: Try to solve this within a minute.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
Excentres of pedal triangle of a triangle are nothing but the vertices of triangle itself. Hence area of Δ A B C = 2 1 × ∣ ∣ ∣ ∣ ∣ ∣ 2 0 4 1 3 8 1 2 1 1 1 1 ∣ ∣ ∣ ∣ ∣ ∣ = 7 0 s q . u n i t s