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GeomBench
Half the product of the diagonals.
A rhombus's diagonals always bisect each other at a right angle, splitting it into 4 congruent right triangles. That's why area = ½ × d₁ × d₂ works without needing an angle or height.
Because the diagonals cross at 90°, each side is the hypotenuse of a right triangle with legs d₁/2 and d₂/2 — so the Pythagorean theorem gives you the side length for free.
Area
24
What you entered
Area = ½ × diagonal₁ × diagonal₂
0.5 × 8 × 6= 24Side length (diagonals bisect at 90°)
√((8/2)² + (6/2)²)= 5Perimeter
4 × 5= 20Result
Area: 24
A rhombus with diagonals 8 and 6 has an area of 24, side length 5, and perimeter 20.