in a triangle PRQ, P=46 and Q=x. find x
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In Δ
u
PQR & Q×R
1
QR
PR
=
XR
QR
(∵QR
2
=PR×R)
∡R=∡R
∴ ΔPQR∼ΔQ×R (SAS criterion)
∴
QX
PQ
=
XR
QR
=
QR
PR
(corresponding parts)
⇒
QX
PQ
=
VR
QR
or,
QX
PR
=
XR
QR
(∵PQ=PR)
⇒QR=QX proved.
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