y squared equals x squared minus z squared.
Solution:
The given triangle is a right angled triangle.
Hypotenuse = x, Base = y, Height = z
Using Pythagoras theorem, we can find the lengths of the sides of the right triangle.
Pythagoras theorem:
In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.
[tex]x^2=y^2+z^2[/tex]
Subtract [tex]z^2[/tex] from both sides of the equation.
[tex]x^2-z^2=y^2[/tex]
Switch the sides
[tex]y^2=x^2-z^2[/tex]
y squared equals x squared minus z squared.
Hence Option B is the correct answer.
