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=a2+b2=152+362=39 cm  t=c/2=39/2=392=19.5=19.5  cm 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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Following knowledge from mathematics are needed to solve this word math problem:

Pythagorean theorem is the base for the right triangle calculator. See also our trigonometric triangle calculator.

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