Problem 3 Given an isosceles triangle ABC with AB = AC, D is a point on AB such

that AD: DB = 3:1, E is a point on side AC, and when DE and BC

are extended, they meet at a point F, such that DE: EF = 1:3.

(a) Find the ratio AD: AE.

(b) If ABDF is also isosceles, find the ratio DE : BC.

step-by-step explanation:

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.

113.1

step-by-step explanation:

v=4

3πr3=4

3·π·33≈113.09734