To find the value of \( X \) in the right triangle, we can make use of the relationships in a right triangle and the Pythagorean theorem.
Given:
- Height \( a = 1X + 36 \)
- Base \( b = 1X \)
Using the Pythagorean theorem, the relationship in a right triangle can be written as: \[ c^2 = a^2 + b^2 \] where \( c \) is the length of the hypotenuse.
Since you haven’t provided the length of the hypotenuse, we aren’t able to directly solve for \( X \). However, if we assume we have a specific hypotenuse length \( c \), we can express everything based on that.
Substituting \( a \) and \( b \): \[ c^2 = (1X + 36)^2 + (1X)^2 \]
This expands to: \[ c^2 = (X + 36)^2 + X^2 \] \[ c^2 = (X^2 + 72X + 1296) + X^2 \] \[ c^2 = 2X^2 + 72X + 1296 \]
Now, if we had a specific value for the hypotenuse \( c \), we could set up the equation: \[ c^2 = 2X^2 + 72X + 1296 \]
At this point, you would solve for \( X \), but without specific values, we can’t find a numerical solution.
Please provide the length of the hypotenuse \( c \) or additional information to proceed with solving for \( X \).