The value of y will be,y=√(x²-12²).Concept of trigonometry is used in given problem.
What is trigonometry?
The field of mathematics is concerned with the relationships between triangles' sides and angles, as well as the related functions of any angle
Apply phythogorous theorm in the triangle ABC;
AC²=AB²+BC²
16²=z²+x²
Apply Pythagoras theorm in triangle ABD
AB²=BD²+AD²
x²=y²+12²
y²=x²-12²
y=√(x²-12²)
Hence,the value of y will be,y=√(x²-12²).
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