- A5 cm
- B12 cm
- C10 cm
- D11 cm
Step-by-Step Solution
The diagonals of a rhombus bisect each other at right angles, so cm and is right-angled: cm. Hence cm.
Answer: C) 10 cm
ABCD is a rhombus with each side 13 cm, drawn to scale. Its diagonal AC is 24 cm. Find the length of the other diagonal BD.
Class 8Understanding QuadrilateralsQuadrilaterals
Key idea: Special parallelograms — extra properties
**Rectangle**: parallelogram + all angles 90°. Extra: diagonals are equal in length.
**Rhombus**: parallelogram + all sides equal. Extra: diagonals are perpendicular AND bisect the angles at each vertex.
**Square**: parallelogram + all angles 90° + all sides equal. Has both extras: equal AND perpendicular AND angle-bisecting diagonals.
Knowing the family tree saves you memorising overlapping rules — a square inherits everything from rectangle AND rhombus.
**Rhombus**: parallelogram + all sides equal. Extra: diagonals are perpendicular AND bisect the angles at each vertex.
**Square**: parallelogram + all angles 90° + all sides equal. Has both extras: equal AND perpendicular AND angle-bisecting diagonals.
Knowing the family tree saves you memorising overlapping rules — a square inherits everything from rectangle AND rhombus.
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More Class 8 Understanding Quadrilaterals practice
PQRS is a rectangle and its diagonals meet at O. The diagonal QS is 13 cm long. Find the…ABCD is a kite: the tick marks show AB = AD and CB = CD. ∠A = 80° and ∠C = 50°. Find the…In trapezium ABCD, the arrow marks show AB ∥ DC. ∠A = 62° and ∠B = 75°. Find ∠D.A floor is tiled with identical regular hexagons with no gaps. At the orange corner…Which quadrilateral has all sides equal AND all angles equal?