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The Euler Area problem

If the coordinates of the centroid, orthocenter and circumcentre of a triangle are (0,a) ; (0,b) & (0,c) respectively, what is the area and perimeter of the triangle?

Note by Digvijay Roy Varier
5 months, 3 weeks ago

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Nine point circle is relevant here.

Pi Han Goh - 5 months, 3 weeks ago

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Ahmad Saad - 5 months, 2 weeks ago

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I also faced this same doubt..as far as i think..there can be more than one triangle..with different areas ..but having the same set of circumcentre orthocentre & centroid..am i right?@Pi Han Goh

Digvijay Roy Varier - 5 months, 3 weeks ago

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Instead of asking me questions, why don't you show your work and where you're stuck, so that I can identify where your issue is.

Pi Han Goh - 5 months, 3 weeks ago

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Pls elaborate@Pi Han Goh

Digvijay Roy Varier - 5 months, 3 weeks ago

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How are the "centroid, orthocenter and circumcentre" are related to each other?

If we know that already, can we related "b" and "c" to "a" (and vice versa)? Can we actually solve for these values?

Pi Han Goh - 5 months, 3 weeks ago

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