Respuesta :

YuutoKatou

Answer:

16, see below :)

Step-by-step explanation:

Hello!

We can use the pythagorean theorem because one of the angles is 90 degrees. According to the theorem, a^2 + b^2 = c^2

a is 12, b is unknown, and c is 20

Now we use the theorem

12^2 + b^2 = 20^2

144 + b^2 = 400

b^2 = 256

b = sqrt(256)

b = 16

Edwena

[tex]\sf{\bold{\green{\underline{\underline{To\:Find}}}}}[/tex]

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  • AC = 20cm
  • BC = 12 cm

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[tex]\sf{\bold{\green{\underline{\underline{To\:Find}}}}} [/tex]

AB = w = ??

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[tex]\sf{\bold{\green{\underline{\underline{Solution}}}}} [/tex]

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Using Pythagoras theorem ;

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[tex]\sf{\red{\boxed{\bold{( hypotenuse )^2 = ( base )^2 + ( height )^2 }}}} [/tex]

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First , lets understand the concept ;

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What is Pythagoras theorem ??

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In Pythagoras theorem the square of hypotenuse is equal to the square of base in the square of corresponding height when one angle is 90° .

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What is hypotenuse ?

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The side in the front of right angle is known as hypotenuse .

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In the given Δ ;

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Hypotenuse = AC = 20 cm

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Acc. to the formulae ;

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➠ 20² = 12² + w²

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➠ w² = 20 ² - 12 ²

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➠ w² = 400 - 144

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➠ w² = 256

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➠ d = √256

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➠d = 16cm

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[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}} [/tex]

  • Value of w is 16cm

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