MathDB

Triangle in Cartesian Plane

Source:

December 22, 2005

geometryanalytic geometrygraphing linesslopetrigonometryPythagorean Theoremarea of a triangle

Problem Statement

Let triangle

ABC

be a right triangle in the xy-plane with a right angle at

C

. Given that the length of the hypotenuse

AB

is 60, and that the medians through

A

and

B

lie along the lines

y=x+3

and

y=2x+4

respectively, find the area of triangle

ABC