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Question Number 206750 by mr W last updated on 23/Apr/24

Answered by HeferH24 last updated on 23/Apr/24

By similar triangles: (d/c) = (x/b) ; (d/c) = (a/x) (a/x) = (x/b) ⇔ x^2 = ab ⇔ x=(√(ab))

$$\:{By}\:{similar}\:{triangles}: \\ $$$$\:\frac{{d}}{{c}}\:=\:\frac{{x}}{{b}}\:;\:\:\frac{{d}}{{c}}\:=\:\frac{{a}}{{x}}\: \\ $$$$\:\frac{{a}}{{x}}\:=\:\frac{{x}}{{b}}\:\Leftrightarrow\:{x}^{\mathrm{2}} \:=\:{ab}\:\Leftrightarrow\:{x}=\sqrt{{ab}} \\ $$

Commented by HeferH24 last updated on 23/Apr/24

Commented by mr W last updated on 24/Apr/24

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