Question

In a right angle triangle ABC B = 90° If AB = 12 cm, BC = 5cm.
then find AC

Answer 1

hope this will help you

Answer 2

$Given \: In \: right \: triangle \: ABC ,\\ \angle B = 90\degree , and \: AB = 12 \:cm , \:BC = 5 \:cm$

$\red{ Find \: AC . }$

$\underline { \green { Solution: }}$

$In \: \triangle ABC , \angle B = 90\degree$

$\therefore AC\: is \: Hypotenuse .$

/* By Phythagorean theorem */

$\boxed{ \blue{AC^{2} = AB^{2} + BC^{2}}}$

$= 12^{2} + 5^{2} \\= 144 + 25 \\= 169$

$\implies AC = \sqrt{169} \\= \sqrt{13^{2}} \\= 13$

Therefore.,

$\red{ Value \: of \:AC }\green { = 13 \:cm }$

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