Question

The diagonals of a rhombus measure 16 cm and 30 cm. Find its perimeter.

the person who will give the correct ans,will be the brain list answer. ​

Answer 1

Answer:

perimeter of rhombus = 68 cm

Step-by-step explanation:

let AC and BD are diagonals of rhombus

length of AC = 16 cm

length of BD = 30cm

length of AO = 8 cm

length of BO = 15cm

as per property of rhombus,

diagonals bisect at 90°

AO^2 + BO^2 = AB^2

8^2 + 15^2 = AB^2

64 + 225 = AB^2

AB^2 = 289

AB = 17 cm

as per property of rhombus,

length of sides are equal

perimeter of rhombus = 4 × side of rhombus

perimeter of rhombus = 4 × 17 cm

perimeter of rhombus = 68 cm