# Median in right triangle

In the rectangular triangle ABC has known the length of the legs a = 15cm and b = 36cm. Calculate the length of the median to side c (to hypotenuse).

Result

t =  19.5 cm

#### Solution:

$a = 15 \ cm \ \\ b = 36 \ cm \ \\ \ \\ c = \sqrt{ a^2+b^2 } = \sqrt{ 15^2+36^2 } = 39 \ cm \ \\ \ \\ t = c/2 = 39/2 = \dfrac{ 39 }{ 2 } = 19.5 = 19.5 \ \text { cm }$

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