The lengths of diagonals of a rhombus are 24 cm and 18 cm respectively, length of each side of the rhombus is :
25 cm
15 cm
35 cm
45 cm

Question

The lengths of diagonals of a rhombus are 24 cm and 18 cm respectively, length of each side of the rhombus is : 1. 25 cm 2. 15 cm 3. 35 cm 4. 45 cm

KnowledgeBoat · Accepted Answer

The diagonals of a rhombus are 18 cm and 24 cm. AC = 18 cm Then, OA = OC = = 9 cm. And, BD = 24 cm Then, OB = OD = = 12 cm. Since the diagonals of a rhombus bisect at 90°. Applying pythagoras theorem in triangle AOB, we get : ⇒ AB2 = OA2 + OB2 ⇒ AB2 = (9)2 + (12)2 ⇒ AB2 = 81 + 144 ⇒ AB2 = 225 ⇒ AB = ⇒ AB = 15 cm. Hence, option 2 is the correct option.

Mathematics

The lengths of diagonals of a rhombus are 24 cm and 18 cm respectively, length of each side of the rhombus is :
25 cm
15 cm
35 cm
45 cm

Rectilinear Figures

Related Questions

ABCD is a rhombus. If ∠A = 70°, then ∠CDB will be :
45°
65°
55°
75°

ABCD is a parallelogram in which ∠BAD = 60° and ∠BAC = 30°, then ∠CBD =
45°
60°
70°
80°

The diagonals of the rectangle ABCD intersect at O. If ∠OBC = 64°, then ∠OAB =
64°
32°
26°
36°

Mathematics

The lengths of diagonals of a rhombus are 24 cm and 18 cm respectively, length of each side of the rhombus is :25 cm15 cm35 cm45 cm

Rectilinear Figures

Related Questions

ABCD is a rhombus. If ∠A = 70°, then ∠CDB will be :45°65°55°75°

ABCD is a parallelogram in which ∠BAD = 60° and ∠BAC = 30°, then ∠CBD =45°60°70°80°

The diagonals of the rectangle ABCD intersect at O. If ∠OBC = 64°, then ∠OAB =64°32°26°36°

The lengths of diagonals of a rhombus are 24 cm and 18 cm respectively, length of each side of the rhombus is :
25 cm
15 cm
35 cm
45 cm

ABCD is a rhombus. If ∠A = 70°, then ∠CDB will be :
45°
65°
55°
75°

ABCD is a parallelogram in which ∠BAD = 60° and ∠BAC = 30°, then ∠CBD =
45°
60°
70°
80°

The diagonals of the rectangle ABCD intersect at O. If ∠OBC = 64°, then ∠OAB =
64°
32°
26°
36°