Using the Pythagoras theorem, statement x²= z²+y² is true about the given right triangle.
It is given that:
The hypotenuse of the right triangle = x
the perpendicular of right triangle = z
the base of the right triangle =y
What is Pythagoras Theorem?
It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
From the Pythagoras Theorem,
Hypotenuse²= Perpendicular²+ Base²
x²= z²+y²
Therefore, using the Pythagoras theorem, statement x²= z²+y² is true about the given right triangle.
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