Question

There’s a right triangle
Find the value of X if a = 1X +36 height and B = 1X is base
X=

Answer 1

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 \( X \).