Triangle FGH has coordinates F(1,-4), G(9, 2) and H(6,6) Find the area and perimeter of triangle FGH.

Step-by-step explanation:

What is the area of triangle FGH? GM is a median that lies on 4x-7=27; height HA lies on x-y+3=0; F is (4,5). Coordinates are Cartesian rectangular.

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Glenn Clemens

Answered 7 months ago

Since HA is an altitude, it must be perpendicular to FG so FG is on the line y = 9 - x. G is also on the line 4x - 7 = 27 or x = 8.5 so G has coordinates (8.5, 0.5). Since median GM lies on x = 8.5, the x-coordinate of the midpoint of HF must be 8.5 so H is at (13, 16).

Now that you have all the vertices, there are several ways to find the area. I extended GF to meet HA at A(3, 6). This gives height HA = sqrt(200) and base FG = sqrt(81/2) and then an area of 45.

answer:

The Quadratic Formula uses the "a", "b", and "c" from "ax2 + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients" of the quadratic equation they've given you to solve.

The Quadratic Formula: For ax2 + bx + c = 0, the values of x which are the solutions of the equation are given by:

x=−b±b2−4ac 2ax = \dfrac{-b \pm\sqrt{b^2 - 4ac\,}}{2a}

-Hops

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