A circle is inscribed inside a quadrilateral PQRS, touching each of its four sides. If the side lengths are PQ = 15 cm, QR = 12 cm, and PS = 10 cm, find the length of the remaining side RS.
Show answer & explanation
Correct answer: C
Explanation
Given:
PQ = 15
QR = 12
PS = 10
According to the formula:
In a tangential quadrilateral:
PQ + RS = QR + PS
15 + RS = 12 + 10
15 + RS = 22
RS = 22 − 15
= 7 cm