Which of the following can form the three sides of a right-angled triangle?

3cm, 4cm, 5cm

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7cm, 9cm, 11cm

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13cm, 17cm, 21cm

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12cm, 7cm, 16cm

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Solution

The correct option is A 3cm, 4cm, 5cm
3, 4, 5 form a Pythagorean triplet i.e. the sum of the squares of 3 and 4 equals the square of 5. Apart from this combination, none can form a right-angled triangle as they do not make up a Pythagorean triplet.

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Similar questions

Q. The lengths of three segments are given for constructing a triangle. Say whether a triangle with these sides can be drawn. Give the reason for your answer.
(1) 17 cm, 7 cm, 8 cm (2) 7 cm, 24 cm, 25 cm
(3) 9 cm, 6 cm, 16 cm (4) 8.4 cm, 16.4 cm, 4.9 cm
(5) 15 cm, 20 cm, 25 cm (6) 12 cm, 12 cm, 16 cm

The triangle of sides 9 cm, 10 cm and 13 cm is a right-angled triangle.

Can the lengths 5 cm, 12 cm, and 13 cm be the sides of a right-angled triangle?

Question 20
Which of the following sets of triangles could be the lengths of the sides of a right-angled triangle?
a) 3 cm, 4 cm, 6 cm
b) 9 cm, 16 cm, 26 cm
c) 1.5 cm, 3.6 cm, 3.9 cm
d) 7 cm, 24 cm, 26 cm

Q. Which of the following is the set of measures of the sides of a triangle?
(a) 8 cm, 4 cm, 20 cm
(b) 9 cm, 17 cm, 25 cm
(c) 11 cm, 16 cm, 28 cm
(d) None of these

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Which of the following can form the three sides of a right-angled triangle?

The correct option is A 3cm, 4cm, 5cm 3, 4, 5 form a Pythagorean triplet i.e. the sum of the squares of 3 and 4 equals the square of 5. Apart from this combination, none can form a right-angled triangle as they do not make up a Pythagorean triplet.

The correct option is A 3cm, 4cm, 5cm
3, 4, 5 form a Pythagorean triplet i.e. the sum of the squares of 3 and 4 equals the square of 5. Apart from this combination, none can form a right-angled triangle as they do not make up a Pythagorean triplet.