SOLUTION: Two vertices of a triangle are (2,4) and (-2,3) and the area is 2 square units, the locus of the third vertex is?
What should be the answer here?
Algebra.Com
Question 1031169: Two vertices of a triangle are (2,4) and (-2,3) and the area is 2 square units, the locus of the third vertex is?
What should be the answer here?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Let distance between those two points be the base for the triangle.
An altitude could intersect the base ANYWHERE and you want to be sure that the altitude length will give area of 2 square units. Let a be the altitude length.
THE PROBLEM HAS INFINITELY MANY SOLUTIONS. The altitude must be perpendicular to the base and be .
BASE
and perpendicular line containing the altitude is , if you choose one endpoint on the altitude to be (2,4),
------line containing the altitude at base endpoint (2,4).
An unknown point (x,-4x+12) must be distance from point (2,4).
-
-----Use this the find the corresponding y coordinate values.
------not simplifiable further
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