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

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12 cm

15 cm

17 cm

13 cm

answer is B.

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Detailed Solution

A rough figure of the triangle is shown below.

By Pythagoras property,

AB² = AC² + BC²

⇒ AB² = 5² + 12²

⇒ AB² = 25 + 144

⇒ AB² = 169

⇒ AB = √169

⇒ AB = 13 cm

Therefore, the length of AB is 13 cm.

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