Question

In Triangle PQR. angle PQR=90°. From any point S on PQ, ST is drawn perpendicular to PR. If PS = 10 cm, PT = 8 cm, find SQ.​

Answer 1

Answer:

Solution:

In ΔPQR, we have

PQ=PR⇒∠R=∠Q

Now, ST∥QR.

⇒∠PST=∠PQR and ∠PTS=∠PRQ [∵ Corresponding angles are equal]

⇒∠PST=∠Q and ∠PTS=∠R

⇒∠PST=∠PTS

⇒PT=PS

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