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Sara is building a triangular pen for her pet rabbit. If two of the sides measure 8 feet and 15 feet, what could the length of the third side be?

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1davey29
As the pen is a triangle, the third side can either be the hypotenuse or a regular side. If the third side is the hypotenuse, it's length would be [tex]l= \sqrt{8^2+15^2} = \sqrt{64+225} = \sqrt{289} =17[/tex] feet. If the third side is a regular side, than it would be [tex]l= \sqrt{15^2-8^2} = \sqrt{225-64} = \sqrt{161}[/tex]≈12.689 feet. This means your third side can either be 17 feet long or 12.689 feet long.
shubhamchouhanvrVT

The third side of the triangular pen will be 17 feet as its other two sides are 8 feet and 15 feet. Which is built by Sara.

What is right angle triangle?

The right-angle triangle is atriangle having three sides and the one side is perpendicular to the other side or at 90 degrees to the other side that another side is called the base and the third side is the hypotenuse.

It is given that two sides are 8 feet and 15 feet.

By using pythagoras theorem of the right-angle triangle:

[tex]H^2=B^2+P^2[/tex]

[tex]H^2=8^2+15^2[/tex]

[tex]H^2=64+225=289[/tex]

[tex]H=\sqrt{289}=17 \ feet[/tex]

Hence the third side of the triangular pen will be 17 feet as its other two sides are 8 feet and 15 feet. Which is built by Sara.

To know more about Right angle triangle follow

https://brainly.com/question/2028228

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