- A10 cm
- B14 cm
- C20 cm
- D28 cm
Step-by-Step Solution
Diagonals of rhombus bisect at right angles. Half-diagonals 8 and 6 form legs of right triangle with side as hypotenuse. side = cm.
Answer: A) 10 cm
In a rhombus, the diagonals are 16 cm and 12 cm. Find the side length.
Class 9QuadrilateralsGeometry — Quadrilaterals
Key idea: Special parallelograms
**Rectangle** (parallelogram + all angles 90°):
- All properties of a parallelogram.
- Diagonals are EQUAL (in addition to bisecting each other).
**Rhombus** (parallelogram + all sides equal):
- All properties of a parallelogram.
- Diagonals bisect each other AT RIGHT ANGLES.
- Diagonals also bisect the angles of the rhombus.
**Square** (rectangle + rhombus):
- All properties of both.
- Diagonals: equal, bisect at right angles, AND bisect angles.
- All properties of a parallelogram.
- Diagonals are EQUAL (in addition to bisecting each other).
**Rhombus** (parallelogram + all sides equal):
- All properties of a parallelogram.
- Diagonals bisect each other AT RIGHT ANGLES.
- Diagonals also bisect the angles of the rhombus.
**Square** (rectangle + rhombus):
- All properties of both.
- Diagonals: equal, bisect at right angles, AND bisect angles.
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More Class 9 Quadrilaterals practice
How many diagonals does a quadrilateral have?In a parallelogram, opposite angles are always ____.The four angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. Find the largest…A quadrilateral with exactly two pairs of equal ADJACENT sides is called a ____.In parallelogram ABCD, ∠A = (3x − 10)° and ∠C = (x + 50)°. Find the value of x.