Answer:
x = 6.72
Step-by-step explanation:
From the diagram, [tex]\Delta XZY[/tex] is right angled.
Also [tex]XZ=24,YZ=7,XY=25,WZ=x[/tex]
Area of a triangle = [tex]\frac{1}{2}\times Base\times Height[/tex]
For [tex]\Delta XZY[/tex], consider calculating area in two ways taking [tex]XZ[/tex] as the base and [tex]XY[/tex] as the base. Both areas must be same because they are areas of same triangle.
[tex]\frac{1}{2}\times XZ\times YZ=\frac{1}{2}\times XY\times WZ\\24\times 7=25\times x\\x=6.72[/tex]
∴ [tex]x=6.72\text{ }units[/tex]
