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Answer:

The value of w is 7.

Step-by-step explanation:

According to Pythagoras theorem,

Hypotenuse²=Perpendicular²+Base²

H²=P²+B²

Here,

Hypotenuse given=7√2

w=y

Perpendicular=Base=x

(7√2)²=x²+x²

49*2=2x²

(49*2)/2=x²

49=x²

√49=x

7=x

Perpendicular=x=7