GCSE Maths Practice: pythagoras-theorem

Question 6 of 10

This single-answer question checks understanding that Pythagoras' Theorem applies only to right-angled triangles.

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\( \begin{array}{l}\text{Which statement about Pythagoras' Theorem is correct?}\end{array} \)

Choose one option:

\( \text{It can only be used with right-angled triangles} \) \( \text{It can be used with any triangle} \) \( \text{It finds the area of any triangle} \) \( \text{It can only be used with scalene triangles} \)

Check that triangle is right-angled before applying the theorem.

Pythagoras' Theorem states that a^2 + b^2 = c^2 in right-angled triangles. It cannot be applied to triangles without a right angle. Misapplication leads to incorrect results. Recognizing this restriction is crucial for accurate problem-solving, particularly in GCSE exams. Students should always verify that the triangle is right-angled before using the theorem. This principle underpins distance calculations, geometric proofs, and real-world applications like construction and design.

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