What is the length of the hypotenuse of the triangle ?
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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.