Pythagorean Theorem 📐

Interactive Tutorial • Practice Problems • Speed Quiz

What is the Pythagorean Theorem? 🧭

  The **Pythagorean Theorem** describes the relationship between the three sides of a **right-angled triangle**. It 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 formula is:

  $$a^2 + b^2 = c^2$$

  Where **a** and **b** are the two shorter sides (the **legs**) and **c** is the longest side (the **hypotenuse**).

 
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Video: Finding the Hypotenuse 🎬

This video will walk you through how to use the Pythagorean Theorem to find the length of a missing side.

 
 
 

Practice Problems

Find the length of the missing side. Round to two decimal places if needed.

 
   
1) $$a=3, b=4$$
Find c.
   

c =

   
   
 
 
   
2) $$a=5, c=13$$
Find b.
   

b =

   
   
 
 
   
3) $$a=6, b=8$$
Find c.
   

c =

   
   
 
 
   
4) $$b=7, c=10$$
Find a.
   

a =

   
   
 

⚡ Theorem Speed Quiz

       
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