The bottom of the ladder is approximately 6.6 feet away from the base of the building. Â Â
What is Pythagoras theorem ?
"Pythagoras theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°. The sides of a right triangle (say a, b and c) which have positive integer values, when squared, are put into an equation, also called a Pythagorean triple".
Given,
Height of the ladder is 12 foot.
Height of the building is 10 feet.
Let the base = x
Using Pythagoras theorem,
[tex]c^2 = a^2 + b^2 \\12^2 = 10^2 +x^2\\144 = 100 + x^2 \\44 = x^2 \\x = 6.6 feet[/tex]
Hence, the base to the bottom of the building is 6.6 feet.
To know more about the Pythagoras theorem here
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