○=> Correct option :
[tex]\color{plum}\tt\bold{(A) \: 6.5 cm}[/tex]
○=> Steps to derive correct option :
Given :
Length of leg in a triangle = 3.2 cm
Length of leg of another triangle = 5.7 cm
We know that :
[tex]\color{hotpink}\tt {hypotenuse}^{2} \color{plum} = {base}^{2} + {height}^{2} [/tex]
Which means :
[tex] = \tt {3.2}^{2} + {5.7}^{2} = {h}^{2} [/tex]
[tex] =\tt 42.73 = {h}^{2} [/tex]
[tex] =\tt \sqrt{42.73} = h[/tex]
[tex]\hookrightarrow\color{plum} \tt6.5 \: cm= hypotenuse[/tex]
Thus, the hypotenuse of this triangle = 6.5 cm
Therefore, the correct option is (A) 6.5 cm
