Right triangle has a perimeter of 24 cm

Question

A right triangle has a 24 cm perimeter and its hypotenuse is twice as long as its shorter leg. To the nearest hundredth of a cm, find the lengths of all three sides of this triangle. 

Answer 1

the The triangle described has acute angles measuring 30 degrees and 60 degrees because of the fact that the hypotenuse is twice the length of the shorter leg. The longer leg equals, PERFORCE, the shorter leg times square root of 3.

 

Thus the short leg measures 12 cm and the longer leg measures 12√3 cm.