Question

In a triangle the measure of altitude are a)1 b)2 c)3 d)4​

Answer 1

Answer:

here's the answer

Step-by-step explanation:

(−1,4)

Given : A(−2,3),B(2,1) and C(1,2)

Slope of BC=

1−2

2−1

=−1

Equation of line BC is y−2=−1(x−1)

⟹x+y−3=0

The foot of perpendicular (h,k) from a point (p,q) to a line ax+by+c=0 is given as

a

h−p

=

b

k−q

=

a

2

+b

2

−(ap+bq+c)

The foot of perpendicular from A(−2,3) to x+y−3=0 is

given by the following equation

1

x+2

=

1

y−3

=

1+1

2

⟹x=−1,y=4

Hence, foot of altitude (x,y)=(−1,4)