Algebra foundations, geometry, and mathematical modeling for eighth grade students.
The Pythagorean Theorem is a rule for right triangles. It says that the square of the longest side (the hypotenuse) is equal to the sum of the squares of the other two sides.
For any right triangle with sides \(a\), \(b\), and hypotenuse \(c\):
\[ a^2 + b^2 = c^2 \]
This theorem helps you find missing side lengths in real life—like the shortest path across a field or the length of a ladder leaning against a wall.
Draw a right triangle and check the theorem for yourself!
\[a^2 + b^2 = c^2\]
If a triangle has sides 3 and 4, the hypotenuse is \(c = \sqrt{3^2 + 4^2} = 5\).
A ramp with a base of 6 ft and height of 8 ft has a length of 10 ft.
The Pythagorean Theorem relates the sides of a right triangle.