Question

the equato
Find the orthocenter of the triangle with the following vertices

(5.-2), (-1,2) and (1.4)​

Answer 1

Step-by-step explanation:

Let A = (5, -2), B = (- 1, 2) and C = (1, 4)

Equation of altitude from C to AB : - 3x + 2y = 5 …….(1)

Equation of altitude from A to BC: x + y = 3 ……..(2)

Solving (1) and (2)

-3x + 2y = 5………….(1) x 1

2x + 2y = 6 ……………. (2) x 2

-5x = - 1

x = 1/5

= 0.2

0.2 + y = 3

y = 2.8

Orthocentre = (0.2, 2.8)