Question

Let the given rhombus be abcd in which ab = bc = cd = da = 20 cm and

ac = 24 cm We know that the diagonals of a rhombus bisect each other at right angles

please help me ​

Answer 1

384 cm²

Explanation:

Property of rhombus :

• Diagonals of rhombus bisect each other and are perpendicular to each other

Given :

1. Rhombus ABCD and its diagonals AC and BD bisect each other at O
2. AC ⊥ BD
3. AB = BC = CD = DA = 20 cm
4. AC = 24 cm

Solving :

Area of the given rhombus is twice the Area of ΔABC formed by the given diagonal and two adjacent sides.

• 2 × 1/2 × OB × AC
• 24 × OB
• 24 × √AB² - AO²
• 24 × √20² - (AC/2)²
• 24 × √400 - 144
• 24 × √256
• 24 × 16
• 384 cm²