Question

39. A (4.1). B 7. 4) and C (5.-2) are the vertices of Triangle ABC find the equation of the
altitude through A​

Answer 1

Step-by-step explanation:

Given the vertices of △ABC

i.e, C(5,-4) A(-5-2) and B(7,6)

let CD be the altitude such that △CDB becomes a right angle triangle and angle B=45 degree

To find the midpoint D,

(

2

−5+7

,

2

−2+6

)=(1,2)

∴ The equation of altitude drawn fron vertex C,

y

2

−y

1

y−y

1

=

x

2

−x

1

x−x

1

⟹

2+4

y+4

=

1−5

x−5

⟹y+

6

4

=

−4

x−5

⟹−4y−16=6x−30

∴3x+2y−7=0

The orthocenter is not always inside the triangle of the triangle is obture,it will be outside