In ΔPQR, PQ = 24 cm and ∠Q = 58o S and T are the points on side PQ and PR, respectively, such that ∠STR = 122o and If PS = 14 cm and PT = 12 cm, then the length of RT is :
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e 16 cm
Explanation:
∠ PTS + ∠ STR = 180o
∠ PTS = 180 - 122 = 58o
∠ P is a common angle.
Δ PQR and Δ PTS are similar triangle. SO,
(PT/PQ) = (PS/PR)
⇒ (12/24) = (14/PR)
⇒PR = 28 cm
Hence,
RT = PR - PT = 28 - 12 = 16 cm