Step-by-step explanation:
Let x be the other leg or the base and the first leg is y or the perpendicular. ATQ,
One leg of a right triangle is twice as long as the other leg,
y = 2x
Hypotenuse, H = 5 cm
For a right angled triangle, using Pythagoras theorem,
[tex]H^2=B^2+P^2[/tex]
Putting all the values,
[tex]5^2=x^2+(2x)^2\\\\25=x^2+4x^2\\\\25=5x^2\\\\x^2=5\\\\x=\sqrt{5}\ cm[/tex]
Other leg,
[tex]y=2x\\\\=2\sqrt{5} \ cm[/tex]
Hence, the measure of the shorter leg is [tex]\sqrt{5} \ cm[/tex]
