Question

A triangle OAP has vertices O(0,0) A(4,0) and P(x,y). The triangle has an area of 12 square units. Find the locus of P as it moves. PLEASE EXPLAIN :) thanks

Answer 1

Right off the bat, what level of math is this?

Answer 2

highschool year 11

Answer 3

Alright. It doesn't actually matter, I misread your question :) Well the area of the triangle is 1/2 b*h, is that correct? Letting the first leg, from (0,0) to (4,0) be the base part, we find that h must be 6.

Answer 4

For instance,

Answer 5

yes that is correct i have to show in terms of loci

Answer 6

Find the length of the sides -> Find the area -> equate this area to 12 -> Do algebraic manipulation to form a equation in terms of (x,y) -> you are done.

Answer 7

oops. That should be a six on the right. Or, we could have or even