Seg PS ┴ ray RQ, seg QT ┴ seg PR.
If QR = 6, PS = 6, PR = 12, find QT
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Given : Seg PS ┴ ray RQ, seg QT ┴ seg PR.
QR = 6, PS = 6, PR = 12,
To Find : QT
Solution:
Area of Δ = (1/2) * base * height
Area of Δ PQR
Base PR and height QT
= (1/2) * PR * QT
Base RQ and height PS
= (1/2) * RQ * PS
Equate Area
(1/2) * PR * QT = (1/2) * RQ * PS
=> PR * QT = RQ * PS
PR = 12
QT = ?
RQ = PS = 6
=> 12 * QT = 6 * 6
=> QT = 3
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