A LADDER IS LEANING AGAINST THE WALL. IF THE LADDER REACHES A HEIGHT OF 12M UP THE WALL AND HAS ITS FOOT 5M AWAY FROM IT ,CULCULATE THE LENGTH OF THE LADDER?
surely you are familiar with the 5-12-13 Pythagorean triple?
The length of the ladder is √(5^2+12^2) = 13
To calculate the length of the ladder, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the ladder is the hypotenuse of a right triangle, with the wall and the base of the ladder forming the other two sides.
Let's assume the length of the ladder is "L". The height of the ladder on the wall is given as 12 meters and the distance of the ladder's foot from the wall is given as 5 meters.
Using the Pythagorean theorem, we have:
L^2 = 12^2 + 5^2
L^2 = 144 + 25
L^2 = 169
Taking the square root of both sides, we get:
L = √169
L = 13
Therefore, the length of the ladder is 13 meters.