Creating a working model of the **Pythagorean theorem** using LED lights is a creative way to demonstrate the relationship between the sides of a right-angled triangle.

Here’s a step-by-step guide to build this model.

### Materials Needed:

**Cardboard**(for the base and triangle)**Three LED lights**(different colors, e.g., red, green, and blue)**Battery**(9V or coin battery for the LEDs)**Wires**(to connect the LEDs to the battery)**Resistors**(to protect the LEDs, 220Ω or 330Ω recommended)**Switch**(optional, to turn the LEDs on and off)**Glue or tape****Scissors****Ruler****Marker/Color pens**(to label sides)**Paper or foam**(to build the triangle)

### Video Steps for Creating the Model:

#### 1. **Prepare the Base**

- Cut a large square piece of cardboard to serve as the base.
- On this base, draw a
**right-angled triangle**using a ruler, labeling the sides: the**hypotenuse (c)**and the two legs,**a**and**b**.

#### 2. **Construct the Triangle**

- To better visualize the Pythagorean theorem, you can make squares on each side of the triangle.
- Cut three square pieces from cardboard or paper:
- The first square should have sides of length equal to
**a**(one leg). - The second square should have sides of length equal to
**b**(the other leg). - The third square should have sides of length equal to
**c**(the hypotenuse).

- The first square should have sides of length equal to
- Place these squares next to their corresponding sides of the triangle on the base, making it visually clear that the areas of squares
**a**and**b**add up to square**c**.

#### 3. **Install the LED Lights**

**LED 1 (for side a)**: Attach a red LED along the side labeled**a**(one leg).**LED 2 (for side b)**: Attach a green LED along the side labeled**b**(the other leg).**LED 3 (for side c)**: Attach a blue LED along the**hypotenuse**.

Ensure each LED is securely glued or taped to the sides of the triangle, with its legs free for wiring.

#### 4. **Connect the LEDs to the Battery**

- For each LED, connect the longer leg (anode) to a
**positive wire**from the battery, and the shorter leg (cathode) to a**negative wire**. - Place a
**resistor**between the positive wire and the LED to prevent excess current. - You can use a breadboard if you want more flexibility in wiring, but simply soldering or twisting the wires can also work.

#### 5. **Connect the LEDs in a Circuit**

- You can wire the LEDs in parallel, meaning each LED has its own connection to the power source. This ensures all LEDs get equal power.
- If you want to control the lights individually, add a switch for each LED. Otherwise, all LEDs will light up together when you connect the battery.

#### 6. **Demonstrate the Pythagorean Theorem**

- Turn on the LEDs using the battery.
- The
**red**and**green**LEDs along sides**a**and**b**represent the squares of these two sides. - The
**blue**LED on the hypotenuse represents the square of side**c**. - Visually, the glowing of the lights highlights that the sum of the areas of the squares on sides
**a**and**b**equals the area of the square on the hypotenuse (side**c**), representing a2+b2=c2a^2 + b^2 = c^2a2+b2=c2.

#### 7. **Label the Model**

- Clearly label the sides of the triangle with
**a**,**b**, and**c**. - Optionally, write the Pythagorean theorem equation, a2+b2=c2a^2 + b^2 = c^2a2+b2=c2, next to the triangle to reinforce the concept.