ΔPQR is an isosceles triangle with PQ = PR = 25 cm. If PS is the median on QR from P such that PS = 7 cm, then the length of QR is:
Answer & explanation
Correct answer: option 1
We know that,
PQ = PR = 25 cm, (Isosceles triangle )
PS = 7 cm
In triangle PSQ
PQ2 = PS2 + QS2
=252 = 72 + QS2
= QS = 24 cm
QS = \(\frac{1}{2}\) × QR
QR = 2 × 24 = 48 cm