Question

Find the exact value of x
.

Answer 1

x = 6.72

Explanation:

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

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

Area of a triangle =
`(1)/(2)* Base* 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.

`(1)/(2)* XZ* YZ=(1)/(2)* XY* WZ\\24* 7=25* x\\x=6.72`

∴
`x=6.72\text{ }units`