a ladder 13 metre long when set against the wall of a house just reaches a window at the height of 12 m from the ground. How far is the lower end of the ladder from the base of the wall? pls answer plsss
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By the Pythagorean formula for a right triangle, ie,
a^2 + b^2 = c^2
where c is the hypotenuse of the triangle
12^2 + b^2 = 13^2 or
144 + b^2 = 169 or
b^2 = 169 - 144 or
b^2 = 25 therefore
b = 5
The foot of the ladder is 5 m from the wall.
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