In a right triangle $A B C, ∠ B = 90 °$ . If $A C = 13 c m, B C = 5 c m$ , find $A B .$

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Solution

Find the length of $A B .$
In right angle $∆ A B C$
By, using Pythagoras theorem,
$\Rightarrow A C^{2} = A B^{2} + B C^{2} \Rightarrow 13^{2} = A B^{2} + 5^{2} \Rightarrow A B^{2} = 169 - 25 \Rightarrow A B^{2} = 144 \Rightarrow A B = 12 c m$
Hence, the length of side $A B = 12 c m .$

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