Question

∆abc is right angle at c . If ac=5cm and bc=12cm. Find the length of ab?

Answer 1

By Pythagoras theorem

$(ab) {}^{2} = {ac}^{2} + {cb}^{2}$

${ab}^{2} = {5}^{2} + {12}^{2} \\ ab {}^{2} = 25 + 144 \\ ab = \sqrt{169} \\ ab = 13$

So, the length of ab is 13cm.

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Answer 2

Given :-

AC = 5cm And BC = 12cm.

To find :-

The length of AB.

$\huge \underline \bold{AnsWer}$

13cm.

Solution;

By Pythagoras property,

⠀ ⠀ AB² = AC² = BC²

⠀ = 5² + 12² = 25 + 144 = 169 = 13² .

⠀ ⠀ AB² = 13

So,AB = 13.

Therefore,The length of AB is 13cm.

Note : To identify perfect squares,you may use prime factorisation technique.

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