In a right triangle the hypotenuse is three times the length of the shorter like the longer leg is 5 cm find the length of the hypotenuse

Answer 1

h=3s

h^2 = s^2 + l^2

(3s)^2 = s^2 + l^2

9s^2 = s^2 +l^2

8s^2 = l^2

s^2 = l^2/8

s = l/sqr8

If l=5 cm then s =(5/2)/sqr2

and h= 3s = (15/2)/sqr2

sqr2 = about 1.414