Question

Triangle ABC has angle ABC = 90 degree, angle ACB = 30 degree. If a point inside the triangle is chosen as random, what is the possibility that it is nearer to AB than AC? Triangle ABC has angle ABC = 90 degree, angle ACB = 30 degree. If a point inside the triangle is chosen as random, what is the possibility that it is nearer to AB than AC? @Mathematics

Answer 1

Draw the triangle, which is clearly a 30-60 right triangle, so the short side is half the length of the hypotenuse. Where would you draw the line to divide the triangle ABC between points closer to AB than to the hypotenuse AC?

Answer 2

This is a very tricky question. What grade level is this?