Pythagorean Theorem

Step 1: Understanding the properties of a rhombus. In a rhombus, the diagonals bisect each other at right angles. Therefore, the two diagonals divide the rhombus into four right-angled triangles. The sides of the rhombus can be found by applying the Pythagorean theorem to these right-angled triangles. Step 2: Apply the Pythagorean theorem. Let the diagonals of the rhombus be p = 16 cm and q = 12 cm. Since the diagonals bisect each other, the half-lengths of the diagonals are: p/2 = 8 cm, q/2 = 6 cm These halves of the diagonals are the two legs of the right-angled triangles, and the side of the rhombus is the hypotenuse. Using the Pythagorean theorem: s² = (p/2)² + (q/2)² s² = 8² + 6² = 64 + 36 = 100 s = \sqrt100 = 10 cm Step 3: Conclusion. Thus, the side length of the rhombus is 10 cm. Therefore, the correct answer is (1) 10 cm.

Chapter Questions
1 MCQs