Respuesta :
To solve this problem, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides equals the length of the hypotenuse (the longest side) squared.
Let's label the sides of the triangle:
* The length of the slide (the hypotenuse) is 4 meters, which we'll call side c.
* The height of the slide (the side opposite the ladder) is 3 meters, which we'll call side b.
* The length of the base of the slide (the side along the ground) is the unknown side, which we'll call side a.
We can now set up the Pythagorean theorem equation and solve for side a:
a^2 + b^2 = c^2
3^2 + a^2 = 4^2
9 + a^2 = 16
a^2 = 16 - 9
a^2 = 7
a = sqrt(7)
Therefore, the length of the base of the slide is approximately 2.6 meters, rounded to the nearest tenth.
It's worth noting that in the real world, slides are not usually perfect right triangles, so this is just an approximation.
Let's label the sides of the triangle:
* The length of the slide (the hypotenuse) is 4 meters, which we'll call side c.
* The height of the slide (the side opposite the ladder) is 3 meters, which we'll call side b.
* The length of the base of the slide (the side along the ground) is the unknown side, which we'll call side a.
We can now set up the Pythagorean theorem equation and solve for side a:
a^2 + b^2 = c^2
3^2 + a^2 = 4^2
9 + a^2 = 16
a^2 = 16 - 9
a^2 = 7
a = sqrt(7)
Therefore, the length of the base of the slide is approximately 2.6 meters, rounded to the nearest tenth.
It's worth noting that in the real world, slides are not usually perfect right triangles, so this is just an approximation.
