Pythagoras Theorem — Chapter Summary

In a right

In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the remaining two sides. For triangle ABC with angle AB

If in any triangle

If in any triangle, the square on the largest side is equal to the sum of the squares on the other two sides, then the triangle is right-angled and th

For a right

For a right-angled triangle ABC, squares are drawn on the three sides. Using equal areas of congruent triangles and the relation between triangle area

Drawing a perpendicular from the right

Drawing a perpendicular from the right angle to the hypotenuse creates two smaller triangles similar to the original triangle. From proportional sides

If a^2 + b^2 = c^2

If a^2 + b^2 = c^2 for positive numbers a, b, and c, then a, b, and c are called Pythagorean triplets. A standard example is 3, 4, 5 because 3^2 + 4^2