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A right triangle has legs with lengths 9 cm and 40 cm. What is the length of the hypotenuse?
___cm?

Sagot :

lulu1991
The length of three sides in a right triangle has the rule of hypotenuse^2=leg one ^2 + leg two ^2. So the square of the length of hypotenuse equals to 9^2+40^2. So the length is 41 cm.
boffeemadrid

Answer:

41cm

Step-by-step explanation:

Let the given right triangle be ABC, then ∠B=90° and AB=40cm and BC=9cm.

Using the pythagoras theorem, we get

[tex](AC)^{2}=(AB)^{2}+(CB)^{2}[/tex]

[tex](AC)^2=(9)^2+(40)^2[/tex]

[tex](AC)^2=\sqrt{81+1600}[/tex]

[tex](AC)^2=\sqrt{1681}[/tex]

[tex]AC=41cm[/tex]

Therefore, the value of the hypotenuse of the given right triangle will be 41 cm.

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