Question

A circle is inscribed in a quadrilateral ABCD where `/_B=90^@`If AD=24 cm AB=30 cm and DS= 8cm find the radius r of the incircle

Answer 1

`AR= AQ`
`BQ = BP`
`CS= CP`
`DR=DS`
`AQ = AB-BQ`
let radius of the circle be r
`= 30 - r`
`AR= 30 -r`
`AD = AR + DR`
`24= 30 - r + 8`
`r = 38-24= 14`
Answer