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Largest median of a triangle ABC is 10 and ▲ ABC is a right angle triangle having hypotenuse as 12, find the lengths of the remaining two medians.

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In a triangle ABC, BD and CE are the two medians which intersect each other at right angle. AB=22, AC=19, Find BC. 

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In a triangle ABC, AB = 16, BC = 20, AC = 18. D and E are the points on lines AB and AC respectively such that AD + AE = 25 and the area of triangle ADE is half the area of triangle ABC. Find DE2.

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In ΔABC, BD is a median and E is a point on AB such that AE : EB = 3 : 4. BD and CE intersect at O. If the area of ΔBOE and the quadrilateral ADOE is 32 cm² and 45 cm² respectively, then find the area (in cm²) of ΔDOC.

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Two of the sides of a triangle are in the ratio 3:4. The medians to these sides are perpendicular to each other. If the third side of the triangle is 12root(5), find the smaller of the first two sides of the triangle.
 
 
 
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In ∆ABC , the median from A is perpendicular to the median from B . If AC = 6 units and BC = 7 units , then what is the length of AB ?

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