Applying the Pythagorean Theorem
Grade 8 · Math · Geometry and the Pythagorean Theorem · Texas, USA
Lesson Summary
Use the Pythagorean theorem to solve real-world and geometric problems.
Explanation
The Pythagorean theorem shows up in many practical situations. If a ladder leans against a wall, the ladder, wall, and ground form a right triangle. You can find any missing side if you know the other two. It also helps determine whether a triangle is a right triangle: if a² + b² = c² works for the three sides, the triangle has a right angle.
Practice Questions
Q1: A 10-foot ladder leans against a wall with its base 6 feet from the wall. How high up the wall does it reach?
Answer: h² + 6² = 10², so h² = 100 − 36 = 64, and h = 8 feet.
Q2: Is a triangle with sides 7, 24, and 25 a right triangle?
Answer: Yes. 7² + 24² = 49 + 576 = 625 = 25². It satisfies the Pythagorean theorem.
Q3: A rectangular TV screen is 36 inches wide and 15 inches tall. What is the diagonal?
Answer: d² = 36² + 15² = 1296 + 225 = 1521, so d = 39 inches.
People Also Ask
What is Applying the Pythagorean Theorem in Grade 8 Math?+
Applying the Pythagorean Theorem is a lesson in the Geometry and the Pythagorean Theorem chapter of Grade 8 Math. It is part of the Texas, USA school curriculum and covers key concepts that students need to understand at this level.
What grade level covers Applying the Pythagorean Theorem?+
Applying the Pythagorean Theorem is taught in Grade 8 as part of the Math curriculum in Texas, USA.
How can I help my child with Geometry and the Pythagorean Theorem in Math?+
Start with the lesson summary and explanation on this page. Practice the questions provided, then use TutorTom for personalized, step-by-step help with Geometry and the Pythagorean Theorem topics.