Question detail
Use a checking method for this problem: final-answer check: a right-angled triangle has shorter sides 3 cm and 4 cm. Find the hypotenuse. State the final answer and verify it against the information in the question.
Try the question, check the answer, then read the explanation to understand the curriculum point.
At a glance
Question
Type
exam_style
Style
Topic
Mensuration and calculation
Question
Use a checking method for this problem: final-answer check: a right-angled triangle has shorter sides 3 cm and 4 cm. Find the hypotenuse. State the final answer and verify it against the information in the question.
Answer
A valid checked answer is 5. The method is: This is a right-angled triangle, so Pythagoras applies to the hypotenuse. Square 3. Square 4. Add the squares to get 25. 5 The final line agrees with the canonical answer.
Explanation
calculator check keeps the canonical answer 5 fixed before the model answer is written, so the worked solution and final answer agree.
Common mistake
Pythagoras and trigonometric ratios common mistake 1
Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Know and apply Pythagoras' theorem and the trigonometric ratios to find angles and lengths in right-angled triangles in two-dimensional figures..
Show the method first, then give the final answer in the required form. Apply this directly to Pythagoras and trigonometric ratios. For Pythagoras, confirm the triangle is right-angled and identify the hypotenuse.
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