Question

the points A(2,3) B(4,-1) C(-1,2) are the vertices of a triangle. find the lenght and perpendicular from A to BC and hence the area of ABC

Answer 1

first, u have to determine the length all sides that triangle...
AB = ...
AC = ...
BC = ...
hint : use the formula AB=sqrt[(y2-y1)^2+(x2-x1)^2]

Answer 2

AB= underrroot 20
BC= underrroot 34
CA= underrroot 10

Answer 3

yes, correct...
after that, can u determine the area of triangle ABC by sine rule formula :
area = 1/2 * side * side * sin