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Question Number 139840 by mnjuly1970 last updated on 01/May/21

Commented by mnjuly1970 last updated on 01/May/21

$$pleaseprove::\Uparrow \Uparrow \Uparrow$$

Answered by mr W last updated on 01/May/21

Commented by mr W last updated on 01/May/21

$$redshadedtrianglesaresimilar,$$$$\Rightarrow \frac{p}{a}=\frac{b}{q}$$$$\Rightarrow ab=pq$$$$greenshadedtrianglearesimilar,$$$$\Rightarrow \frac{m}{a}=\frac{b}{n}$$$$\Rightarrow ab=mn$$$$$$$$\Rightarrow ab=pq=mn$$$$\Rightarrow \sqrt{ab}=\sqrt{pq}=\sqrt{mn}$$

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