A ladder is standing against a wall.If a ladder reaches a height of 12cm up the wall.If the foot is 5cm away from it.Calculate the length of the ladder.
ever hear of a 5-12-13 right triangle?
No?
Ever hear of the Pythagorean Theorem?
It either u use theorem of pythagoras or trigonometric ratios
yes
To calculate the length of the ladder, we can use the Pythagorean theorem. In this scenario, the ladder, the height it reaches on the wall, and the distance from the base of the ladder to the wall form a right-angled triangle.
According to the Pythagorean theorem, the sum of the squares of the two shorter sides of a right triangle (a and b) is equal to the square of the hypotenuse (c).
In this case, the height the ladder reaches on the wall is 12 cm (let's call it side a) and the distance of the foot from the wall is 5 cm (let's call it side b). We need to find the length of the ladder (hypotenuse, side c).
Using the theorem:
a^2 + b^2 = c^2
Plugging in the given values:
12^2 + 5^2 = c^2
Simplifying:
144 + 25 = c^2
169 = c^2
Taking the square root of both sides:
c = √169
c = 13 cm
Therefore, the length of the ladder is 13 cm.