Question

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

Answer 1

Step-by-step explanation:

Since, △ABC is a right angled triangle. We can apply Pythagoras' Theorem to find the length of AB.

According to Pythagoras’ theorem, “In a right angled triangle: The square of the hypotenuse is equal to the sum of the squares of the other two sides.”

Applying Pythagoras’ theorem in △ABC, we get

AB2=AC2+BC2

⇒AB2=52+122

⇒AB2=25+144

⇒AB2=169

⇒AB=169−−−√

⇒AB=13 cm

∴ Length of AB is 13 cm.

Answer 2

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┗─━─━─━─━∞◆∞━─━─━─━─┛

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Given :

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• ABC is a right angle triangle

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• AC = 5cm

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• BC = 12cm

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To Find :

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• AB = ?

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Solution :

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△ABC is a right angle triangle

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So, By Pythagorous Theorem,

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$\color{magenta} \implies {AB}^{2} = {AC}^{2} + {BC}^{2}$

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$\color{magenta} \implies {AB}^{2} = {5}^{2} + {12}^{2}$

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$\color{magenta} \implies {AB}^{2} = 25 + 144$

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$\color{magenta} \implies {AB}^{2} = 169$

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$\color{magenta} \implies \: AB = \sqrt{169}$

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$\color{magenta} \implies \: AB = 13$

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Therefore, AB = 13cm.