Respuesta :

Answer:

x=7 (if your teacher cares it could + or - 7)

Step-by-step explanation:

Okay, since it's a 90 degree triangle you can use the Pythagorean theorem

( a^2 + b^2 = c^2)

Since it's an isosceles triangle the other side is x because it's the same value.

x^2 + x^2= (7[tex]\sqrt{2}[/tex] )^2

Add the left side

2x^2= 7^2 + [tex]\sqrt{2}[/tex]^2 roots and square roots cancel each other out

So -> 2x^2= 49 x 2 =98

just solve for x.

x^2 = 98/2

x^2= 49

Square root both sides

x= 7

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