Verified Answer :

wolf1728

x^2 = (5sqrt(2))^2 + (5sqrt(2))^2
x^2 = 50 + 50
X^2 = 100
x = 10
OR in a 90 45 45 triangle the hypotenuse = leg sqrt(2)
so (5 sqrt (2)) sqrt (2) = 5 2 = 10 = x

By applying the Pythagoras theorem in a right-angle triangle, the value of x is 10.

What is the Pythagoras theorem?

Pythagoras Theorem (also called Pythagorean Theorem) is an important topic in Mathematics, which explains the relation between the sides of a right-angled triangle.

By applying the Pythagoras theorem in a right-angle triangle;

\(\rm Hypotenuse ^2=Perpendicular^2+Base^2\\\\ x ^2=(5\sqrt{2} )^2+(5\sqrt{2} )^2\\\\x ^2=25 \times 2 + 25\times 2\\\\x ^2=50+50\\\\x ^2=100\\\\x = 10\)

Hence, the value of x is 10.

learn more about the Pythagoras theorem here;

https://brainly.com/question/343682

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