Respuesta :

7.3

Explanation

here we have a rigth triangle, so we can use the Pythagoren theorem ,it states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse

Step 1

Let

[tex]\begin{gathered} \text{side}1\text{ = 6.4} \\ \text{side}2=3.5 \\ \text{hypotenuse = h} \end{gathered}[/tex]

so, the P.T says

[tex](\text{side}1)^2+(side2)^2=(hypotenuse)^2[/tex]

replace

[tex]\begin{gathered} 6.4^2+3.5^2=h^2 \\ 53.21=h^2 \\ \text{square root in both sides} \\ \sqrt{53.21}=\sqrt{h^2} \\ 7.29=h \\ \text{rounded} \\ 7.3=h \end{gathered}[/tex]

so, the answer is

7.3

I hope this helps you

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