MathDB

1

Part of 2017 Flanders Math Olympiad

Problems(1)

equal projections from y=x^2 on x-axis, triangle area (2017 VWO Flanders MO p1)

Source:

8/7/2020
On the parabola y=x2y = x^2 lie three different points P,QP, Q and RR. Their projections P′,Q′P', Q' and R′R' on the xx-axis are equidistant and equal to ss , i.e. ∣P′Q′∣=∣Q′R′∣=s| P'Q'| = | Q'R'| = s. Determine the area of △PQR\vartriangle PQR in terms of ss
analytic geometryconicsparabolaequal segmentsarea of triangle