The perpendicular sides of a right angled triangle are `3x` and `4x`. The length of its hypotenuse is `30`. Find the lengths of the perpendicular sides of the right angled triangle.

Explanation

Let `DeltaABC` be the given right angled triangle, `/_ABC=90^(@)`
`AB=4x`, `BC=3x`
`AC=30`
By Pythagoras theorem,
`AC^(2)=AB^(2)+BC^(2)`
`:.30^(2)=(4x)^(2)+(3x)^(2)`
`:.900=16x^(2)+9x^(2)`
`:.25x^(2)=900`
`:.x^(2)=(900)/(25)`
`:.x^(2)=36`
`:.x=6`
`AB=4x=4xx6=24`
`BC=3x=3xx6=18`