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If a rectangle has a diagonal of 10 cm and one side is 6 cm, what is the length of the other side?
A diagonal is a straight line connecting two non-adjacent vertices of a polygon or polyhedron. In a rectangle or square diagonals are equal in length and intersect at the center. Diagonals help in dividing shapes into smaller parts and are used in various geometric calculations and properties.
In Class 6 Maths Chapter 8 on Playing with Constructions students learn the art of geometric constructions using a compass ruler and protractor. The chapter covers drawing angles bisectors perpendicular bisectors circles and constructing triangles. Students also learn how to make accurate drawings and apply these constructions in various practical scenarios.
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Using the Pythagorean theorem for a rectangle:
d² = L² + W²
Given:
d = 10 cm, L = 6 cm, and let W = x.
Substitute the values:
10² = 6² + x²
100 = 36 + x²
Solve for x²:
x² = 100 − 36
x² = 64
Taking the square root:
x = √64
x = 8 cm
So, the length of the other side is 8 cm.
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