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By Pythagoras theorem, we have
AC² = AB² + BC²
(15)² = (12)² + BC²
225 = 144 + BC²
BC² = 81
BC = √81
BC = 9m
So your base is of 9 m.
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➪ The distance of the foot of the ladder from wall is 9m.
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A 15m long leader reached a window 12 metre height from the ground and placing it against a wall at a distance a. Find the distance of the foot of leader from the wall.
By Pythagoras theorem:-
➺ AC² = AB² + BC²
➺ (15)² = (12)² + BC²
➺ 225 = 144 + BC²
➺ BC² = 225 - 144
➺ BC² = 81
➺ BC = √81
➺BC = 9 cm.
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➦ What is phythagoras theorem?
➳ In a right triangle the square of hypotenuse is equal to sum of square of the other two sides.
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