Respuesta :

Explanation

The first step is to draw a representation of the given parameters.

Since this is a right-angle triangle, the Pythagorean theorem applies. This can be seen below;

[tex]\text{Longest Leg}^2=sum\text{ of the square of the short legs}[/tex]

We can then apply it to the sides of the triangle.

DF is the longest side. Therefore,

Answer

[tex]DF^2=DE^2+EF^2[/tex]

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