Question

ΔABC is right-angled at C. If AC = 5 cm and BC = 12 cm find the length of AB.​

Answer 1

Given: Length of AC is 5 cm and length of BC is 12 cm respectively.

Need to find: The length of AB?

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$\underline{\bigstar\;\pink{\mathcal{BY\;USING\;PYTHAGORAS\;THEOREM\;:}}}$

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$:\implies\sf{(AB)^2=(AC)^2+(BC)^2}\\\\\\:\implies\sf{(AB)^2=(5)^2+(12)^2}\\\\\\:\implies\sf{(AB)^2=25+144}\\\\\\:\implies\sf{(AB)^2=169}\\\\\\:\implies\sf{AB=\sqrt{169}}\\\\\\:\implies\underline{\boxed{\frak{\textcolor{lavender}{AB=13\;cm}}}}\;\bigstar$

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$\therefore\;\underline{\sf{Hence,\;the\;length\;of\;AB\;is\;{\textsf{\textbf{13\;cm}}}.}}$⠀