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how to find the third side of a triangle when two sides are given ?

please explain by taking every type of triangle .eg-right , acute , obtuse triangle .

take this as urgent

$ConsidertherighttriangleABC,rightangledatB.\phantom{\rule{0ex}{0ex}}LetAB=3units,BC=4units.\phantom{\rule{0ex}{0ex}}TofindAC.\phantom{\rule{0ex}{0ex}}Bypythagorastheorem,weknowthat\phantom{\rule{0ex}{0ex}}A{C}^{2}=A{B}^{2}+B{C}^{2}\phantom{\rule{0ex}{0ex}}A{C}^{2}={3}^{2}+{4}^{2}\phantom{\rule{0ex}{0ex}}A{C}^{2}=9+16\phantom{\rule{0ex}{0ex}}A{C}^{2}=25\phantom{\rule{0ex}{0ex}}AC=5units.\phantom{\rule{0ex}{0ex}}So,thirdsideis5units.$

$Note:AccordingtoPythagorastheorem\phantom{\rule{0ex}{0ex}}{\left(Hypotenuse\right)}^{2}={\left(Base\right)}^{2}+{\left(Height\right)}^{2}\phantom{\rule{0ex}{0ex}}andhereHypotenuse=AC\phantom{\rule{0ex}{0ex}}Base=BCand,\phantom{\rule{0ex}{0ex}}Height=AB$

$Nowincaseofacuteandobtusetrianglewecantfindthethirdside\phantom{\rule{0ex}{0ex}}whentwosidesaregivenweneedsomemoreinformationsuchasangles\phantom{\rule{0ex}{0ex}}shouldbegivenorsomemethodsareusedtofindthethirdsidewhentwosides\phantom{\rule{0ex}{0ex}}aregivenwhicharetaughtinhigherclasses.$

Regards

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