# 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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