Respuesta :

Answer:  D) 7

Explanation:

This is a 45-45-90 triangle, aka an isosceles right triangle. Any triangle of this type will always have each leg congruent to one another, and the hypotenuse is sqrt(2) times that of the leg length.

The hypotenuse is 7*sqrt(2) units long, meaning each leg must be 7 units long.

We can use the pythagorean theorem to solve [tex]x^2+x^2 = \left(7\sqrt{2}\right)^2[/tex] and you should find the positive solution is x = 7. Ignore the negative x solution.

Answer:

7

Step-by-step explanation:

In a 45 -45 90 triangle, the hypotenuse = leg[tex]\sqrt{2}[/tex]

In the triangle, the hypotenuse is given because it is the side opposite the right angle.

hypotenuse = leg[tex]\sqrt{2}[/tex]  

     7 [tex]\sqrt{2}[/tex] = leg [tex]\sqrt{2}[/tex]       Solve for the leg

   [tex]\frac{7\sqrt{2} }{\sqrt{2} } =\frac{leg\sqrt{2} }{\sqrt{2} }[/tex]

        7 = leg          legs are equal in a 45- 45- 90 triangle

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