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Question: Orthocentre of a triangle whose vertices are (0, 0), (3, 4), (4, 0) is...

Orthocentre of a triangle whose vertices are

(0, 0), (3, 4), (4, 0) is

A

(3, 7/3)

B

(3, 5/4)

C

(5, –2)

D

(3, 3/4)

Answer

(3, 3/4)

Explanation

Solution

Like this figure, AL = y = x/4

and CN = x = 3

Both intersects at x = 3, y = 3/4