A ladder leans against a vertical wall of height 12m.if the foot of the ladder is 5m away from the wall,calculate the length of the ladder.
This resembles the right angle triangle cuz the ladder leaning the wall the foot away from the wall and the length of the ladder represents the right angle triangle.
Let a be the height of the wall (12m),b , the foot of the ladder away from the wall(5m) and c the length of the ladder which is unknown.
.·.a2+ b2=c2
(12m)2+(5m)2=c2
144m+25m =c2
169=c2
Square root of 169& c
13=c
.·.the length of the ladder is 13m
Pls calculate it for me
the ladder, wall, and ground form a Pythagorean triple (like 3-4-5)
this one is 5-12-13
No answer
To calculate the length of the ladder, you can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the ladder is the hypotenuse, and the foot of the ladder and the wall form the other two sides.
Let's label the length of the ladder as 'L'. We know that the foot of the ladder is 5m away from the wall, so we can label the base of the triangle as 'b' = 5m. The height of the wall is 12m, so we can label the height of the triangle as 'h' = 12m.
Using the Pythagorean theorem, we have the equation:
L^2 = b^2 + h^2
Plugging in the values we know:
L^2 = 5^2 + 12^2
L^2 = 25 + 144
L^2 = 169
To find the length of the ladder, we need to take the square root of both sides:
L = √169
L = 13
Therefore, the length of the ladder is 13 meters.