○=> Correct option :
![\color{plum}\tt\bold{(A) \: 6.5 cm}](https://img.qammunity.org/2022/formulas/mathematics/high-school/mbng1lc75m6hlfu9huq7w8yqn90plhc4lq.png)
○=> 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 :
![\color{hotpink}\tt {hypotenuse}^(2) \color{plum} = {base}^(2) + {height}^(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/tx9i1btn2c0a64psgr8uvfr0hfgekumjku.png)
Which means :
![= \tt {3.2}^(2) + {5.7}^(2) = {h}^(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/zte4tlgzsr7li3945bm8td9boeoq43fhgd.png)
![=\tt 42.73 = {h}^(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/gy399nikc7orhfi4dbsvrdzjzqlq3fmq3f.png)
![=\tt √(42.73) = h](https://img.qammunity.org/2022/formulas/mathematics/high-school/4vok5ods6zma4f54dl2fk85fzu8qhau70a.png)
![\hookrightarrow\color{plum} \tt6.5 \: cm= hypotenuse](https://img.qammunity.org/2022/formulas/mathematics/high-school/rrsba54v6omaq2zuha5z317tosz6b2hu17.png)
Thus, the hypotenuse of this triangle = 6.5 cm
Therefore, the correct option is (A) 6.5 cm