https://r2.erweima.ai/mathbot/image/1724251114128oekxeuo7.jpg

I need to use theorem of pythagoras for the above

To solve the problem using the Pythagorean theorem, we'll analyze the triangle in the image.

### Steps to Apply the Pythagorean Theorem:
The Pythagorean theorem states that in a right-angled triangle:
\[
c^2 = a^2 + b^2
\]
where:
- \( c \) is the hypotenuse (the side opposite the right angle),
- \( a \) and \( b \) are the other two sides (legs of the triangle).

### Applying to Your Problem:
1. **Identify the sides**:
   - The **hypotenuse** \( c \) is the line from the base to the bird.
   - The **horizontal leg** \( b \) is the distance from the observer to the base of the vertical line.
   - The **vertical leg** \( a \) is the height of the bird above the ground.

2. **Pythagorean Theorem**:
   \[
   c^2 = a^2 + b^2
   \]
   - Square both the height \( a \) and the distance \( b \), then sum them up to find the square of the hypotenuse \( c^2 \).
   - Take the square root of the sum to find \( c \), the hypotenuse.

### Example:
If you have specific numbers for the height and the base, I can calculate the hypotenuse for you.

Please provide the values for the vertical and horizontal sides, or confirm if you'd like me to assist further in extracting this information from the image.

Learn how to apply the Pythagorean theorem to solve a triangle problem. This problem involves finding the hypotenuse of a right-angled triangle given its legs. Suitable for students in Grades 7-9.

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