Respuesta :

We are given a right triangle and two of its sides. We are asked to determine the hypotenuse. To do that we will use the Pythagorean theorem:

[tex]h^2=a^2+b^2[/tex]

Where:

[tex]\begin{gathered} h=\text{ hypotenuse} \\ a,b=\text{ sides} \end{gathered}[/tex]

Now, we substitute the values:

[tex]h^2=15^2+20^2[/tex]

Solving the squares:

[tex]h^2=225+400[/tex]

Adding the values:

[tex]h^2=625[/tex]

Now, we take the square root to both sides:

[tex]h=\sqrt{625}[/tex]

Solving the square root:

[tex]h=25[/tex]

Therefore, the value of the hypotenuse is 25.

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