What is the orthocenter of a triangle with corners at #(4 ,5 )#, #(3 ,7 )#, and (1 ,6 )#?

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What is the orthocenter of a triangle with corners at #(4 ,5 )#, #(3 ,7 )#, and (1 ,6 )#?

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Answer 1 · 2016-03-26T05:10:16

the Orthocenter is at #(3, 7)#

Explanation:

The given triangle is a right triangle. So the legs are two of the three altitudes. The third one being perpendicular to the hypotenuse. The right angle is at #(3, 7)#. The sides of this right triangle each measure #sqrt5# and the hypotenuse is #sqrt10#

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What is the orthocenter of a triangle with corners at #(4 ,5 )#, #(3 ,7 )#, and (1 ,6 )#?

1 Answer

Explanation:

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