Finding the missing side of the right triangle.
X 48 55
To find the missing side of a right triangle, we can use the Pythagorean theorem, which states that in a right 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, one of the smaller sides is labeled as 'X'. Let's call the other smaller side 'a' and the hypotenuse 'c'. The equation using the Pythagorean theorem would be:
c^2 = a^2 + (48)^2
And we know that c = 55, so we can substitute that value in:
(55)^2 = a^2 + (48)^2
Simplifying the equation, we have:
3025 = a^2 + 2304
Next, we subtract 2304 from both sides:
721 = a^2
To solve for 'a', we can take the square root of both sides:
√721 = √(a^2)
Approximately, √721 = 26.88
Therefore, the missing side 'a' is approximately 26.88.