Simple Geo
Source: NMTC Junior P4
November 2, 2019
geometry
Problem Statement
In the figure, is a diameter of the circle, where , and . Find the length of and hence find the length of the altitude from to .
[asy]
import cse5;
size(200);
pair O=(2, 0), B=(0, 0), C=(4, 0), A=(1, 3), D, E;
D=MP("D",D(IP(D(CP(O,B)),D(MP("A",D(A),N)--MP("B",D(B),W)))),NW);
E=MP("E",D(IP(CP(O,B),D(MP("C",D(C),NE)--A),1)),NE);
D(B--C);
[/asy]