Respuesta :
the slide is hypotenuse , the ladder and the distance from the ladder to the end of the side are legs, so we can use Pythagorean theorem
length of the slide =c,
c^2= 9^2+6^2
c^2=81+36=117
√117=10.8 ft
length of the slide =c,
c^2= 9^2+6^2
c^2=81+36=117
√117=10.8 ft
[tex]10.8[/tex] is the length of the slide.
What is Pythagorean theorem?
In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
According to questions, Jenny wants to know how long the slide is at the playground. She knows the height from the bottom of the ladder to the top of the slide is 6 feet.
The bottom of the ladder forms a right angle with the ground. She also measures the distance from the bottom of the ladder to the end of the slide which is 9 feet.
We have to find length of the slide.
So, the length of the slide
[tex]=\sqrt{6^{2} +9^{2} }[/tex]
[tex]=[/tex][tex]\sqrt{36+81}[/tex]
[tex]=10.8[/tex] feet.
Hence, we can conclude that [tex]10.8[/tex] is the length of the slide.
Learn more about Pythagorean theorem here:
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