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PQR is a triangle in which PQ=PR. S is any point on QR, RX is perpendicular to PQ, SY is perpendicular to PQ and SZ is perpendicular PR. If X and Y lie on PQ and Z lies on PR, then which of the following is true?(1) RX² = SY²+ SZ²(2) RX² < SY²+ SZ²(3) RX² > SY²+ SZ²(4) QR² > QX²+ XR²

Answer» PQR is a triangle in which PQ=PR. S is any point on QR, RX is perpendicular to PQ, SY is perpendicular to PQ and SZ is perpendicular PR. If X and Y lie on PQ and Z lies on PR, then which of the following is true?
(1) RX² = SY²+ SZ²
(2) RX² < SY²+ SZ²
(3) RX² > SY²+ SZ²
(4) QR² > QX²+ XR²


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