To identify the hypotenuse of the triangle, let's first analyze the triangle's sides based on standard definitions in a right triangle. The hypotenuse is the longest side, opposite the right angle.
In your case, without an explicit triangle configuration or diagram, the line segments mentioned are:
- LT
- WT
- WL
If we assume this is a right triangle with W at the right angle, then WT can be identified as the hypotenuse, as well as the longest side of the triangle.
Question 1:
The hypotenuse of the triangle is WT.
Question 2:
Given:
- WT = 53 (hypotenuse)
- LW = 45
We need to find TL. We can use the Pythagorean theorem, which states:
\[ a^2 + b^2 = c^2 \]
Where:
- \(c\) is the length of the hypotenuse (WT),
- \(a\) and \(b\) are the lengths of the other two sides (LW and TL).
In this scenario, we can position the segments as follows:
- \(LW\) is one leg of the triangle,
- \(TL\) is the other leg of the triangle,
- \(WT\) is the hypotenuse.
Using the values, the equation becomes:
\[ LW^2 + TL^2 = WT^2 \]
Substituting the known values into the equation:
\[ 45^2 + TL^2 = 53^2 \]
Calculating the squares:
\[ 2025 + TL^2 = 2809 \]
Now, isolate \(TL^2\):
\[ TL^2 = 2809 - 2025 \] \[ TL^2 = 784 \]
Now, take the square root of both sides:
\[ TL = \sqrt{784} \] \[ TL = 28 \]
Final Answer for Question 2:
The length TL is 28.