Question

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Answer 1

Prove that:
\[□PRHQ = \sqrt{GQ \times QH \times HR \times RK}\]
Plaese?

Answer 2

do you have the figure?

Answer 3

Area (PRHQ)= area (HKG) - area1 - area2
= 1/2 (HK.GH) - 1/2 (RK.QH) - 1/2 (HR.GQ)
= 1/2 (HR+RK)*(GQ+QH) - 1/2 (RK.QH) - 1/2 (HR.GQ)
= 1/2 (HR.QH+RK.GQ)
In the same time you got:
Area(PRHQ) = HR.QH = 1/2 (HR.QH+HR.QH)

So HR.QH = RK.GQ
Finally \[Area (PRHQ) = HR.QH = \sqrt{HR.QH}*\sqrt{HR.QH}=\sqrt{HR.QH}\sqrt{RK.GQ}=\sqrt{RK.GQ.HR.QH}\]

Answer 4

\[= \sqrt{HR . QH} . \sqrt{RK}\]
IS THE LAST EQUATION?

Answer 5

thank you :D

Answer 6

Nah, there just wasn't enough space it's: \[Area (PRHQ) = \sqrt{HR.QH}\sqrt{RK.GQ}=\sqrt{HR.QH.RK.GQ}\] And you're welcome :)