In the given figure, a circle is inscribed in ΔPQR, such that it touches the sides PQ, QR, and RP at points D, E, and F, respectively. If the lengths of the sides are PQ-18 cm, QR-13 cm, and RP-15 cm, then find the length of PD.

Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 10 cm.
Given that
The sides of triangle PQ = 18 cm
QR = 13 cm
RP = 15 cm
Formula used
⇒ PD = (QR + RP - PQ)
Calculation
⇒ PD = (13 + 15 - 18)
⇒ PD = 10 cm