Question 7 (ii)
In a right triangle ABC, B =90^o.
If AC= 13cm, BC = 5 cm, find AB.

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Solution

(b) Using Pythagoras theorem,

$A C^{2} = A B^{2} + B C^{2} \Rightarrow (13)^{2} = A B^{2} + (5)^{2} \Rightarrow 169 = A B^{2} + 25 \Rightarrow A B^{2} = 169 - 25 \Rightarrow A B^{2} = 144 \Rightarrow A B = 12 c m$

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In a right triangle ABC, B =90^o.
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