Question

occurs due to running water, winds and slopes.
settlements preserves the cultural aspect.
3. If the distance between two contour lines is more, the slope is
soil is found in Deccan plateau region.​

Answer 1

Answer:

$\huge{\tt\red{Answer}}$

$\tt\orange{Given}$

$\bullet\:\tt {Seg\: OL\: is\: perpendicular\: to\: seg\: AB.}\\\\ \bullet\:\tt {AB \:=\: 6cm}\\\\\bullet\:\tt {OA\:=\:5cm}$

$\tt\orange{To \:Find}\\\\\tt Seg\:OL\:=\:?$

$\tt\orange{Solution}$

$\bf A \:segment\:drawn\: perpendicular\: to\: the\: chord \:bisects\: the\: chord.$

$\therefore\tt{ AL\:=\:BL}\\\\\tt AL\:=\:\dfrac{AB}{2}\\\\\tt{ Consider\: the\: \vartriangle OAL}\\\\\therefore \tt \angle OLA\:=\:90°$

$\tt AO^2\:=\:AL^2\:+\:OL^2\\\\\rightarrow \tt 5^2\:=\:3^2\:+\:OL^2\\\\\rightarrow\tt 25\:=\:9\:+\:OL^2\\\\\rightarrow\tt 25\:-\:9\:=\:OL^2\\\\\rightarrow\tt 16\:=\:OL^2\\\\\rightarrow\tt \sqrt{16}\:=\:OL\\\\\Longrightarrow\bf{\pink{4\:=\:OL}}$