Respuesta :

Answer:

7

Step-by-step explanation:

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Edwena

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

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  • AD = 24cm
  • DB = 25 cm

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

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  • AB = d = ??

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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 = DB = 25 cm

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Acc. to the formulae ;

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➠ 25² = 24² + d²

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➠ d² = 25 ² - 24 ²

➠ d² = 625 - 576

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➠ d² = 49

➠ d = √49

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➠d = 7cm

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

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  • Value of d is 7cm