Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

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.

View image boffeemadrid
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.