Question

Find the area of rhombus whose side are of 10m and its altitude is 6m.If one of its diagonal is 5m long. What is the lenght of the other diagonal?​

Answer 1

given :-

side if the rhombus = 10m

altitude of the rhombus = 6m

length of one of the diagonal of the Rhombus = 5m

there are basically two formulas to find the area of Rhombus.

one is "base × height" this formula can be used when the side and altitude of the rhombus is given. since rhombus is also a parallelogram.

another one is "1/2 × d1 × d2" where d1 and d2 are the diagonals of the Rhombus.

now, area of the Rhombus = base × height

= 10 × 6

= 60m²

also 1/2 × d1 × d2 = area of the rhombus

➡ 1/2 × d1 × d2 = 60m²

➡ 1/2 × 5 × d2 = 60m²

➡ 2.5 × d2 = 60m²

➡ d2 = 60/2.5

➡ d2 = 24m

hence, the length of the other diagonal of the rhombus is 24m.