Advertisements
Advertisements
प्रश्न
The diagonals of a rhombus are 18 cm and 24 cm. Find:
(i) its area ;
(ii) length of its sides.
(iii) its perimeter
Advertisements
उत्तर
The diagonal of the rhombus is 18 cm and 24 cm.
area of rhombus = `1/2` x Product of diagonals
= `1/2` x 18 x 24
= 216 cm2
(ii)
Diagonals of a rhombus bisect each other at right angles.
∴ OA = `1/2 xx 24 = 12` cm
OB = `1/2 xx 18 = 9` cm
In right ∠d Δ AOB
AB = `sqrt("OA"^2 + "OB"^2)`
= `sqrt((12)^2 + (9)^2)`
= `sqrt(144 + 81)`
= `sqrt(225) = 15` cm
∴ Side of rhombus = 15 cm
(iii)
Perimeter of rhombus = `4 xx "side"`
= `4 xx 15 = 60` cm
(i) 216 cm2 (ii) 15 cm (iii) 60 cm.
APPEARS IN
संबंधित प्रश्न
Lengths of the diagonals of a rhombus are 16.5 cm and 14.2 cm, find its area.
A thin metal iron-sheet is rhombus in shape, with each side 10 m. If one of its diagonals is 16 m, find the cost of painting both sides at the rate of ₹ 6 per m2. Also, find the distance between the opposite sides of this rhombus.
Find the area of a rhombus whose diagonals are of lengths 10 cm and 8.2 cm.
Find the area of a rhombus whose base is 14 cm and height is 9 cm.
Find the missing value.
| Diagonal (d1) | Diagonal (d2) | Area |
| 12 mm | 180 sq.mm |
The area of a rhombus is 100 sq.cm and length of one of its diagonals is 8 cm. Find the length of the other diagonal
The area of the rhombus with side 4 cm and height 3 cm is
The height of the rhombus whose area 96 sq.m and side 24 m is
Most of the sailboats have two sails, the jib and the mainsail. Assume that the sails are triangles. Find the total area sail of the sailboats to the nearest tenth.
