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Question
In ΔPQR right-angled at Q, PQ = QR. If QS ⊥ PR, then the length of PS is not equal to
In ΔPQR right-angled at Q, PQ = QR. If QS ⊥ PR, then the length of PS is not equal to
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Solution
The correct option is A QP
Given: ∠PQR = 90°, PQ = QR and QS ⊥ PR
∴ ∠PSQ = 90°
Since ∠PSQ > ∠PQS and ∠PSQ > ∠QPS, and side opposite to
larger angle is longer.
PQ > PS and PQ > QS
∴ PS < PQ and QS < PQ
Thus, PS cannot be equal to PQ.
Hence, the correct answer is option (a).
Given: ∠PQR = 90°, PQ = QR and QS ⊥ PR∴ ∠PSQ = 90°
Since ∠PSQ > ∠PQS and ∠PSQ > ∠QPS, and side opposite to
larger angle is longer.
PQ > PS and PQ > QS
∴ PS < PQ and QS < PQ
Thus, PS cannot be equal to PQ.
Hence, the correct answer is option (a).
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