In the given figure, triangle PQR is a right angled triangle at Q. If PQ = 35 cm and QS = 28 cm, then what is the value (in cm) of SR?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 37.33
QR is the diameter of the semicircle
∴ ∠QSR = 90º
PS = 21 [Applying pythagorus theorem in triangle PQS]
Now,
352 = 21 × (21 + SR)
⇒ 1225 = 21 × (21 + SR)
⇒ 58.33 = (21 + SR)
⇒ SR = 37.33 cm