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  • Find the orthocentre of the triangle whose vertices are (1,2), (1,5), (7,5) Option: 1 (3,2)Option:

Find the orthocentre of the triangle whose vertices are (1,2), (1,5), (7,5) 

Option: 1

(3,2)


Option: 2

(3,1) 


Option: 3

(4,3)


Option: 4

None 


Answers (1)

best_answer

Let A(1,2), B(1,5), C(7,5)

Here AB2 = 9 , BC2 = 36, CA2 = 45

Clearly, AB2 + BC2 = CA2

The given triangle is a right angled triangle 

Hence, the orthocenter is the vertex containing the right angle

So orthocenter is (1, 5)

 

Posted by

Sayak

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