GCSE Maths Practice: pythagoras-theorem

Question 9 of 10

This multiple-answer question tests applications of Pythagoras' Theorem in right-angled triangles and rectangles.

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\( \begin{array}{l}\text{Which are correct uses of Pythagoras' Theorem?}\end{array} \)

Select all correct options:

Use Pythagoras only in right-angled triangles or rectangles split into right triangles.

Pythagoras' Theorem is a fundamental geometric principle that applies to right-angled triangles. It states that the square of the hypotenuse equals the sum of the squares of the other two sides. This theorem is widely used to find missing sides in right-angled triangles and diagonals of rectangles, which can be considered as right-angled triangles formed by splitting the rectangle. Understanding this principle allows students to solve real-world problems, including calculating distances, heights, and diagonals. Practising these applications reinforces students' understanding of right-angled triangles and geometric reasoning, which is crucial for GCSE exams.