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3 years ago

15. The vertices of A DEF are D(0,0), E(0,7), and F(6,3).

Mathematics

1 answer:

Marat540 [252]3 years ago

6 0

Orthocenter of a triangle with one vertex at the origin D(0,0), E(0,7), F(6,3)

The orthocenter is the meet of the altitudes.

DE is the line x=0. That's the y axis. The altitude is the perpendicular through F(6,3), so is the horizontal line y=3.

DF is the line

6y=3x

y=(1/2)x

Perpendicular through E(0,7) is

y - 7 = (-2)(x - 0)

y = -2x + 7

That's the other altitude. Intersecting with y=3

3 = -2x + 7

-4 = -2x

x = 2

y = 3

Answer: orthocenter is (2,3)

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