Question

The perimeter of a rhombus is 180 cm and one of its diagonals is 72 cm. Find the length of the other diagonal and area of the rhombus

Answer 1

Answer:

1994cm²

Step-by-step explanation:

side of rhombus = 180 / 4 = 45cm

diagonals of a rhombus bisect at 90 degrees

the rhombus is divided into 4 triangles

with height 72/2cm = 36cm

hypotenhuse = 45 cm

length of other diagonal = 2 x√(45² - 36²)

= 2 x 27

= 54 cm

area

= 4 x area of each triangle

= 4 x 1/2 x 36 x 27

= 1994 cm²

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