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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.

Area of ΔDOC is 21cm^2.

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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.
 
 
 

Length of smaller of two sides is equal to 36 units.

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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 ?

Length of AB is (17)^1/2 units.

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