Find the Missing Side
Pythagorean Theorem: a² + b² = c²
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Pythagorean Theorem Game
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This Pythagorean Theorem Game is a great way to put your skills to the test in a fun environment. By practicing, you’ll start to work out the answers efficiently.
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Pythagorean Theorem Game
The Pythagorean Theorem formula states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides (the legs).
a2 + b2 = c2
Scroll down the page for a more detailed explanation.
In this game, you may select “Find Hypotenuse”, “Find Leg” or “Mixed Questions”. If you give a wrong answer, the game will provide the correct answer.
Score: 0 / 0
How to Play the Pythagorean Theorem Game
In the game, you need to use the Pythagorean Formula to find the hypotenuse of leg of a right triangle.
Here’s how to play:
- Choose your challenge: Select “Find Hypotenuse”, “Find Leg”, or “Mixed Questions”.
- Find Hypotenuse: Find the hypotenuse given the two legs.
- Find Radius: Find one of the legs given the hypotenuse and the other leg.
- Enter Your Answer: Enter in the answer.
- Check Your Work: Click the “Check” button (or press the Enter key). The game will tell you if you’re correct. If you are wrong, you will be shown the correct answer.
- Get a New Problem: Click the “Next” button for a new problem.
Your score is tracked at the top, showing how many you’ve gotten right out of the total you’ve tried. - Back to Menu Click “Menu” to restart the game.
The Pythagorean Theorem Formula
The formula states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides (the legs).
a2 + b2 = c2
Where:
a and b are the lengths of the two legs (the sides that meet to form the 90° angle).
c is the length of the hypotenuse (always the longest side, opposite the right angle).
How to Use the Theorem (Two Main Scenarios)
You can use the theorem in two primary ways:
Scenario 1: Finding the Hypotenuse (c)
This is used when you know the lengths of both legs (a and b) and need to find the hypotenuse c)
.
c2 = a2 + b2
Scenario 2: Finding a Missing Leg (a or b)
This is used when you know the length of the hypotenuse (c) and one leg (say, b), and you need to find the missing leg (a).
You must rearrange the formula to solve for the missing leg:
a2 = c2 - b2
The video gives a clear, step-by-step approach to use the Pythagorean Theorem to find the hypotenuse.
The video gives a clear, step-by-step approach to use the Pythagorean Theorem to find the missing leg.
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