In-ABC-A-90-AD-BC-DE-AC-AF-FG-GH-FC-a-How-many-triangles-are-there-b-If-AB-16-9-B-60-find-the-length-of-GH-

Tinku Tara June 3, 2023 Geometry 0 Comments

Question Number 8325 by lepan last updated on 08/Oct/16

In Δ ABC,∠A=90° , AD⊥BC, DE⊥AC, AF⊥FG,GH⊥FC. (a)How many triangles are there? (b)If AB=((16)/9) , ∠B=60°,find the length of GH.

$${In}\:\Delta\:{ABC},\angle{A}=\mathrm{90}°\:,\:{AD}\bot{BC},\:{DE}\bot{AC}, \\ $$$${AF}\bot{FG},{GH}\bot{FC}. \\ $$$$\left({a}\right){How}\:{many}\:{triangles}\:{are}\:{there}? \\ $$$$\left({b}\right){If}\:{AB}=\frac{\mathrm{16}}{\mathrm{9}}\:,\:\angle{B}=\mathrm{60}°,{find}\:{the}\:{length} \\ $$$$\:\:\:\:\:\:{of}\:{GH}. \\ $$

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In-ABC-A-90-AD-BC-DE-AC-AF-FG-GH-FC-a-How-many-triangles-are-there-b-If-AB-16-9-B-60-find-the-length-of-GH-

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