Question

Find the exact value of x .

Answer 1

Answer:

x = 6.72

Step-by-step explanation:

       From the diagram, $\Delta XZY$ is right angled.

Also $XZ=24,YZ=7,XY=25,WZ=x$

      Area of a triangle = $\frac{1}{2}\times Base\times Height$

For $\Delta XZY$, consider calculating area in two ways taking $XZ$ as the base and $XY$ as the base. Both areas must be same because they are areas of same triangle.

$\frac{1}{2}\times XZ\times YZ=\frac{1}{2}\times XY\times WZ\\24\times 7=25\times x\\x=6.72$

∴ $x=6.72\text{ }units$