Triangle FGH has vertices F(-2,4) G(4,4) and H(1,-2). Find the orthocenter of FGH(With work)!?

It's where the altitudes meet so find the equations of two of the altitudes, and solve the resulting system of equations. Like to find the equation of the altitude containing vertex G, get the slope of FH, find its opposite reciprocal since the altitude is perpendicular to FH, then use point-slope form for a linear equation.

the 1st aspect you ought to do throughout the time of this variety of questions is examine whether that's a "effective" triangle. In different phrases, whether that's a top-triangle whose vertices are placed on "person-friendly" factors. This makes lifestyles less demanding. certainly, that's. comedian strip it on paper to work out what I propose. you ought to establish the place the bisecting perpendiculars meet. They meet at (4, one million), and this is the midsection of the circle.