Hi

Note: median of 15 units bisects the hypotenuse into two equal lengths of 15

that is: the distance  along the hyp from the alt to the short side = 6

 15 - sqrt(15^ - 12^) = 6

the length of the shorter leg is 6sqrt(5) in simplest radical form

 12^2 + 6^2 = sqrt(180) = 6sqrt(5) 

RELATED QUESTIONS

In a right triangle, the hypotenuse has length 14 cm. and another side has length 12 cm.... (answered by checkley75)

A right triangle has legs of lengths 6 and 8. the altitude to the hypotenuse  has length... (answered by funmath)

in a right triangle, the altitude to the hypotenuse is 5 units and the longer segment of... (answered by Edwin McCravy)

 A right triangle has one leg that is 12 units long and a hypotenuse that is 15 units... (answered by ewatrrr)

In a 3-4-5 right triangle, find the length of the altitude to the hypotenuse.   (answered by richard1234)

I've been working on this all day. And i need some assistance. Can someone please help... (answered by Nate,jim_thompson5910)

In the diagram below, RST is a 3 − 4 − 5 right
triangle. The altitude, h, to  (answered by jim_thompson5910)

In triangle ABC, a right triangle, the hypotenuse is 26 cm long. The altitude to the... (answered by Theo)

The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments... (answered by KMST)