X = 6 cm and Z = 10 cm, what is the length of Y?
If you post the entire problem, we may be able to help you.
To determine the length of Y, we need more information about the relationship between X, Y, and Z. Without this information, we cannot calculate the exact length of Y.
However, if we assume that the three lengths form a right-angled triangle, we can use the Pythagorean theorem to find the length of Y.
The Pythagorean theorem 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 lengths of the other two sides.
In this case, if X and Z are the lengths of the two sides, and Y is the hypotenuse, the Pythagorean theorem can be written as:
X^2 + Y^2 = Z^2
Substituting the given values:
6^2 + Y^2 = 10^2
36 + Y^2 = 100
To solve for Y, we need to isolate Y on one side of the equation. Subtracting 36 from both sides:
Y^2 = 100 - 36
Y^2 = 64
To find Y, we take the square root of both sides:
Y = √64
Y = 8 cm
So, if we assume that X, Y, and Z form a right-angled triangle, the length of Y would be 8 cm. However, please note that this is just one possible scenario based on this assumption, and there may be other valid configurations depending on the context of the problem.