The length of the side marked x (BC) is x = 17 cm
In a right triangle, the side opposite the right angle (hypotenuse) is the longest side. We can use the Pythagorean theorem to find the missing side (BC):
Pythagorean theorem: a^2 + b^2 = c^2
where:
a and b are the lengths of the two legs (sides adjacent to the right angle)
c is the length of the hypotenuse (longest side)
In your case:
a = AC = 8 cm
b = AB = 15 cm
c = BC = x (unknown)
Plugging these values into the equation:
8^2 + 15^2 = x^2
64 + 225 = x^2
289 = x^2
Taking the square root of both sides:
√289 = √x^2
17 = x
Therefore, the length of the side marked x (BC) is 17 cm.