GCSE Maths Practice: pythagoras-theorem

Question 9 of 10

This question asks students to identify the necessary conditions for applying Pythagoras' Theorem correctly in geometry problems.

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\( \begin{array}{l}\text{Which conditions must be true to apply Pythagoras' Theorem?}\end{array} \)

Select all correct options:

Check that the triangle has a right angle and that two sides are known before applying Pythagoras' Theorem.

Pythagoras' Theorem is a fundamental principle in geometry stating that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. To apply this theorem correctly, the triangle must have a right angle, and at least two sides must be known to calculate the third. The triangle type (isosceles, scalene) is irrelevant, as long as it contains a right angle. Understanding these conditions ensures accurate problem-solving, prevents common mistakes, and builds confidence for GCSE-level geometry questions. This principle is widely used in practical applications, such as calculating distances, heights, diagonals, and constructing accurate designs in both 2D and 3D contexts. Practising identifying the correct conditions strengthens students’ reasoning and spatial awareness, essential for exams and real-world applications.