Respuesta :

Answer: The answer is d 10 times 2 squared-the last choise.

BECAUSE:a squared + b squared = c squared

10 squared + 10 squared = c squared

100+100=c squared

the square root of 200 = c squared

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Answer:

10√2 units

Step-by-step explanation:

Given : A right angles triangle QRS

           QS= SR = 10 units

To Find : Hypotenuse

Solution:

Perpendicular = 10 units

Base = 10 units

Hypotenuse = QR

Now we will use Pythagoras theorem

[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]

[tex]QR^2=QS^2+SR^2[/tex]

[tex]QR^2=10^2+10^2[/tex]

[tex]QR^2=100+100[/tex]

[tex]QR^2=200[/tex]

[tex]QR=\sqrt{200}[/tex]

[tex]QR=10\sqrt{2}[/tex]

Hence the length of the hypotenuse of the triangle is 10√2 units

So, Option D is correct.