Answer:
Explanation:
To find the length of the adjacent side, we need to use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side (the hypotenuse).
In this case, we have one shorter side (the adjacent side) with length x, and another side (the opposite side) with length 13 cm. We also know that the hypotenuse has length 19 cm. So, we can set up the equation:
x^2 + 13^2 = 19^2
Simplifying:
x^2 + 169 = 361
Subtracting 169 from both sides:
x^2 = 192
Taking the square root of both sides:
x = sqrt(192)
Simplifying:
x = 8*sqrt(3) cm
Therefore, the length of the adjacent side is 8*sqrt(3) cm.