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).

Correct answer:

t =  19.5 cm

Step-by-step explanation:

$$\begin{gathered} a=15\text{ cm } \\ b=36\text{ cm } \\ c=\sqrt{a^2+b^2}=\sqrt{15^2+36^2}=39\text{ cm } \\ t=c\mathrm{/}2=39\mathrm{/}2={\displaystyle \frac{39}{2}}={\displaystyle \frac{39}{2}}\text{ cm}=19.5\text{ cm} \end{gathered}$$

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