Mr.Brown is building a slide for his kids. The ladder is 3 meters tall ad the slide is 5 meters long. What is the distance between the ladder and the bottom of the slide?
To find the distance between the ladder and the bottom of the slide, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length 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, let's assume that the distance between the ladder and the bottom of the slide is 'd'. So, we have a right-angled triangle with the ladder as one side measuring 3 meters, the slide as the other side measuring 5 meters, and the distance 'd' as the hypotenuse.
Using the Pythagorean theorem, we can write the equation as:
3^2 + d^2 = 5^2
Simplifying, we have:
9 + d^2 = 25
Subtracting 9 from both sides, we get:
d^2 = 25 - 9
d^2 = 16
Taking the square root of both sides, we find:
d = √16
Since the distance cannot be negative in this case, the distance between the ladder and the bottom of the slide is 4 meters.
a^2 + b^2 = c^2
3^2 + b^2 = 5^2
9 + b^2 = 25
b^2 = 16
b = 4