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2 years ago

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

Mathematics

1 answer:

natka813 [3]2 years ago

6 0

Answer:

Step-by-step explanation:

Property of rhombus :

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

Given :

Rhombus ABCD and its diagonals AC and BD bisect each other at O
AC ⊥ BD
AB = BC = CD = DA = 20 cm
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
<u>384 cm²</u>

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