Right triangle Alef

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

Result

shorter leg:  12 cm
longer leg:  35 cm

Solution:

a+b+37=84 a2+b2=372 a<b a=12 b=35 a+b+37=84 \ \\ a^2+b^2=37^2 \ \\ a<b \ \\ a=12 \ \\ b=35 \ \\

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