Verified Answer :

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

\((AC)^{2}=(AB)^{2}+(CB)^{2}\)

\((AC)^2=(9)^2+(40)^2\)

\((AC)^2=\sqrt{81+1600}\)

\((AC)^2=\sqrt{1681}\)

\(AC=41cm\)

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

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