bethgarcia2000
bethgarcia2000 7h ago • 0 views

Examples of Pythagorean Theorem problems

Hey there! 👋 Let's conquer the Pythagorean Theorem together! I've put together a quick study guide and a practice quiz to help you master this important math concept. Good luck and have fun! 🤓
🧮 Mathematics
🪄

🚀 Can't Find Your Exact Topic?

Let our AI Worksheet Generator create custom study notes, online quizzes, and printable PDFs in seconds. 100% Free!

✨ Generate Custom Content

1 Answers

✅ Best Answer
User Avatar
alice181 Dec 28, 2025

📚 Quick Study Guide

  • 📐 The Pythagorean Theorem applies only to right triangles.
  • 📝 It states: $a^2 + b^2 = c^2$, where 'a' and 'b' are the lengths of the legs and 'c' is the length of the hypotenuse.
  • ➕ The hypotenuse is always the side opposite the right angle and is the longest side of the triangle.
  • 💡 To find a missing leg length (a or b), rearrange the formula: $a = \sqrt{c^2 - b^2}$ or $b = \sqrt{c^2 - a^2}$.
  • 🔢 Remember to take the square root after performing the subtraction to find the length of the side.

🧮 Practice Quiz

  1. What is the length of the hypotenuse of a right triangle with legs of length 3 and 4?
    1. 5
    2. 7
    3. 25
    4. 12
  2. A right triangle has a hypotenuse of length 13 and one leg of length 5. What is the length of the other leg?
    1. 8
    2. 12
    3. 144
    4. 18
  3. A ladder is leaning against a wall. The base of the ladder is 6 feet from the wall, and the ladder reaches 8 feet up the wall. How long is the ladder?
    1. 10 feet
    2. 14 feet
    3. 2 feet
    4. 48 feet
  4. What is the area of a right triangle with legs of length 7 and 24?
    1. 84
    2. 168
    3. 31
    4. 62
  5. Find the value of $x$ in the right triangle where one leg is 9, the other leg is 12 and the hypotenuse is $x$.
    1. 15
    2. 3
    3. 21
    4. 225
  6. If $a = 6$ and $c = 10$, find the length of side $b$ in the right triangle.
    1. 8
    2. 4
    3. 16
    4. 100
  7. A square has sides of length 5. What is the length of the diagonal of the square?
    1. $\sqrt{50}$
    2. 5
    3. 10
    4. 25
Click to see Answers
  1. A
  2. B
  3. A
  4. A
  5. A
  6. A
  7. A

Join the discussion

Please log in to post your answer.

Log In

Earn 2 Points for answering. If your answer is selected as the best, you'll get +20 Points! 🚀