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Lines, Triangles and Circles · Question 30 of 67

Question 30

EasyOriginal question

Which of these sets of three numbers can be the side lengths of a right-angled triangle?

Options for question 30

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Check whether the squares of the two smaller numbers add up to the square of the largest.

  2. 202+212=400+441=841=29220^2 + 21^2 = 400 + 441 = 841 = 29^2, so 20, 21, 29 works.

  3. The others miss by one: 92+402=4129^2 + 40^2 = 41^2, 112+602=61211^2 + 60^2 = 61^2 and 122+162=20212^2 + 16^2 = 20^2, so 42, 62 and 21 are wrong.

Worth noting

Each wrong set is a real triplet with the last number changed, so recognising 'nearly familiar' numbers is a trap. Always square and check.

Concept
Recognising Pythagorean triplets
Typical time
40 s
Your time
—
The rule this testsSimilarity and Pythagoras
Practise this chapter →

Ten questions from Lines, Triangles and Circles, at your own pace.

Practise this chapter →

Ten questions from Lines, Triangles and Circles, at your own pace.