Right triangle Alef

The obvod of a right triangle is 84 cm, the hypotenuse is 37 cm long. Determine the lengths of the legs.

Correct result:

shorter leg:  12 cm
longer leg:  35 cm

Solution:

$$\begin{gathered} a+b+37=84 \\ {a}^2+b^2=37^2 \\ a<b \\ a=12 \\ b=35 \end{gathered}$$

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