Respuesta :
The formula for finding the length is
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
All we have to do is plug in the numbers.
[tex] {6}^{2} + {8}^{2} = {c}^{2} [/tex]
36 + 64 = 100
Since 100 =
[tex] {c}^{2} [/tex]
we have to find the square root.
[tex] \sqrt{100} = 10[/tex]
The length of the slide is 10 feet.
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
All we have to do is plug in the numbers.
[tex] {6}^{2} + {8}^{2} = {c}^{2} [/tex]
36 + 64 = 100
Since 100 =
[tex] {c}^{2} [/tex]
we have to find the square root.
[tex] \sqrt{100} = 10[/tex]
The length of the slide is 10 feet.
The square of the longest side (hypotenuse) is equal to the sum of the square of other two sides. The length of the sliding board is 10feet
What is Pythagoras theorem?
This theorem states that the square of the longest side (hypotenuse) is equal to the sum of the square of other two sides.
Given the following
Height = 6 feet
Base = 8feet
Required
length of the sliding board (hypotenuse)
Using the Pythagoras theorem:
h² = 6² + 8²
h² = 36 + 64
h² = 100
h = √100
h = 10feet
Hence the length of the sliding board is 10feet
Learn more on Pythagoras theorem here: https://brainly.com/question/343682