Right Δ

A right triangle has the length of one leg 11 cm and length of the hypotenuse 61 cm. Calculate the height of the triangle.

Correct result:

v_c =  10.8 cm

Solution:

$$\begin{gathered} a=11cm \\ c=61cm \\ b=\sqrt{c^2-a^2}=60cm \\ S=S \\ {\displaystyle \frac{1}{2}}c{v}_c={\displaystyle \frac{1}{2}}ab \\ c{v}_c=ab \\ c{v}_c=a{v}_c={\displaystyle \frac{a}{c}}b={\displaystyle \frac{11}{61}}\cdot 60=10.8\text{ cm} \end{gathered}$$

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