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.

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

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