We are given
The measures of the legs of a triangular rectangle are 90 cm and 120 cm
we have to find hypotenuse
we can use Pythagoras theorem
[tex]c^2=a^2+b^2[/tex]
Here ,
a, b are legs of rectangle
c is hypotenuse
so, we get
[tex]a=90[/tex]
[tex]b=120[/tex]
now, we can plug these value
[tex]c^2=90^2+120^2[/tex]
[tex]c^2=22500[/tex]
now, we can take sqrt
and we get
[tex]\sqrt{c^2} =\sqrt{22500}[/tex]
[tex]c=150[/tex]
So, the height measurement relative to the hypotenuse is 150cm......Answer