Respuesta :

Mcawesom
using Pythagoras theorem
let the hypotenuse be h
[tex] {h}^{2} = {12}^{2} + {16}^{2} \\ {h}^{2} = 144 + 256 \\ {h}^{2} = 400 \\ h = \sqrt{400} \\ h = 20cm[/tex]
the answer is D
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Answer:

D.20 cm

Step-by-step explanation:

Hello there

I think I can help you with this,you can solve this by using the  Pythagoras theorem,which establishes

[tex]side^{2}+side^{2}=hypotenuse^{2}[/tex]

step 1

isolate hypotenuse from the equation

[tex]side^{2}+side^{2}=hypotenuse^{2}\\\sqrt{side^{2}+side^{2}} =hypotenuse[/tex]

we will take only the positive root, because we are finding a distance

Step 2

replace

Let

side=12 cm

side=16 cm

[tex]hypotenuse=\sqrt{side^{2}+side^{2}} \\hypotenuse=\sqrt{(12\ cm)^{2}+(16\ cm)^{2}}\\hypotenuse=\sqrt{144\ cm^{2}+256\ cm^{2}}\\hypotenuse=\sqrt{400\ cm^{2}}\\hypotenuse=20\ cm\\\\[/tex]

D.20 cm

Have a nice day.

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