Question

find the unknown lenght x in the following figure​

Answer 1

Answer:

root unde 8of square and root under 6 of square

Answer 2

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┗─━─━─━─━∞◆∞━─━─━─━─┛

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Given :

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• AB = 6cm

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• BC = 8cm

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To Find :

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• AC = ?

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Solution :

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Let AC be x.

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ABC is a right angle triangle

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So, By Pythagorous Theorem,

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$\bf \purple{ {Hypotenuse}^{2} = {Base}^{2} + {Side}^{2} }$

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$\bf \purple{ \implies {x}^{2} = {8}^{2} + {6}^{2} }$

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$\bf \pink{ \implies {x}^{2} = 64 + 36}$

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$\bf \purple{ \implies {x}^{2} = 100 }$

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$\bf \pink{ \implies x = \sqrt{100} }$

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$\bf \purple{ \implies x = 10}$

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Therefore, AC = 10cm.