Question

Question 1
Which is the hypotenuse of the triangle?(1 point)
Responses

LT¯¯¯¯¯¯¯
line segment cap l cap t

∠L
∠L

WT¯¯¯¯¯¯¯¯¯
line segment cap w cap t

WL¯¯¯¯¯¯¯¯¯
line segment cap w liters
Question 2
If WT = 53 and LW = 45, find TL. You must show all work in order to earn full credit for the problem, including your original equation. You may either type your answer or upload a picture. (3 points)

Answer 1

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:

1. **LT**
2. **WT**
3. **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**.