Question 95

In an equilateral triangle, the orthocentre divides each median in the ratio x : y. If x > y, then fmd x : y.

Name: In an equilateral triangle, the orthocentre divides each median in the ratio x : y. If x > y, then fmd x : y.
Uploaded: 2026-05-20T11:13:37.820100+05:30
Duration: 3 min
Description: In an equilateral triangle, the orthocentre divides each median in the ratio x : y. If x > y, then fmd x : y.

Solution

This is a special property with respect to an equilateral triangle, where its orthocentre and centroid coincide with each other.

Also, we know that the centroid divides the median in a ratio 2:1. Hence, the orthocentre shall divide the median in the same ratio.

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