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
Solution:
Using the Pythagorean Theorem
Hypotenuse² = Base² + Perpendicular²
(a) 6² = 3² + 4²
36 = 9 + 16
36 ≠ 25
(b) 26² = 16² + 9²
676 = 256 + 81
676 ≠ 337
(c) 3.9² = 1.5² + 3.6²
15.21 = 2.25 + 12.96
15.21 = 15.21
(d) 26² = 7² + 24²
676 = 49 + 576
676 ≠ 625
Therefore, 1.5 cm, 3.6 cm, 3.9 cm could be the lengths of the sides of a right-angled triangle.
✦ Try This: Which of the following sets of triangles could be the lengths of the sides of a right-angled triangle:
(a) 4 cm, 5 cm, 7 cm
(b) 10 cm, 17 cm, 27 cm
(c) 1.6 cm, 3.4 cm, 4.0 cm
(d) 8 cm, 25 cm, 27 cm
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 10
NCERT Exemplar Class 7 Maths Chapter 12 Problem 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
Summary:
1.5 cm, 3.6 cm, 3.9 cm could be the lengths of the sides of a right-angled triangle.
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