Question

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

Answer 1

Step-by-step explanation:

GIVEN :

AC = 12 CM

BC = 5 CM

TO FIND :

LENGTH OF AB.

SOLUTION :

BY PYTHAGORAS THEOREM

${ab}^{2} = {ac}^{2} + {bc}^{2} \\ \\ ab = \sqrt{ {12}^{2} + {5}^{2} } \\ \\ = \sqrt{144 + 25} \\ \\ = \sqrt{169} \\ \\ = 13 \: cm.$

ANSWER :

AB = 13 CM.