The legs a right triangle are $18$ & $24$ cm. The distance of orthocentre from centroid is?

For a right-angled triangle, the orthocentre is located exactly at the vertex of the right angle, making the distance from the orthocentre to the centroid equal to two-thirds of the median drawn to the hypotenuse. First, calculate the hypotenuse using the Pythagorean theorem: the square root of (18 squared plus 24 squared) is 30 cm. Since the median to the hypotenuse is half its length, it is 15 cm; multiplying this by two-thirds gives a distance of 10 cm.

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