Respuesta :

TheAnimeGirl

Answer:

9.8 cm

Step-by-step explanation:

By Pythagoras theorem,

[tex] {db}^{2} = {ad}^{2} + {ab}^{2} [/tex]

[tex] {db}^{2} = {(4)}^{2} + {(9)}^{2} [/tex]

[tex] {db}^{2} = 16 + 81[/tex]

[tex] {db}^{2} = 97[/tex]

[tex] {db}^{2} = \sqrt{97} [/tex]

[tex] {db}^{2} = 9.8 \: cm[/tex]

Hence, the length of diagonal of a given rectangle is 9.8 cm

Hope this helps...

Good luck on your assignment...

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peachylollybae

Answer:

Hello There!

`~~~~~~~~~~~~~~~~~~~~~`

9.85cm

Step-by-step explanation: You can use the Pythagoras' formula to solve for the length of the diagonal:

[tex]a = 9cm \\b = 4cm\\\\d^2 = a^2 + b^2\\\\d^2 = 9^2 + 4^2\\\\d^2 = 81 + 16 = 97\\\\d= \sqrt{97} = 9.85cm[/tex]  

So the answer would be 9.85cm. Hope this helped you. Brainliest would be nice!

Ver imagen peachylollybae