Assertion (A): The area of rhombus is 84 cm2. If its one diagonal is 7 cm, then side of the rhombus is 12 cm. Reason (R): Area of rhombus is given by × product of its diagonals. 1. A is true, R is false 2. A is false, R is true 3. Both A and R are true 4. Both A and R are false

Question

KnowledgeBoat · Accepted Answer

By formula, Now in rhombus diagonals bisect each other at right angles. Thus, By pythagras theorem, (Side)2 = (Side)2 = (Side)2 = (3.5)2 + (12)2 (Side)2 = 12.25 + 144 (Side)2 = 156.25 Side = Side = 12.5 cm ∴ Assertion (A) is false. By formula, Area of rhombus = × product of its diagonals ∴ Reason (R) is true. Assertion (A) is false, reason (R) is true. Hence, option 2 is the correct option.

Mathematics

Assertion (A): The area of rhombus is 84 cm2. If its one diagonal is 7 cm, then side of the rhombus is 12 cm. Reason (R): Area of rhombus is given by × product of its diagonals. 1. A is true, R is false 2. A is false, R is true 3. Both A and R are true 4. Both A and R are false

Mensuration

Related Questions

A field is in the shape of parallelogram, whose adjacent sides are 120 m and 170 m. If its one diagonal is 250 m, then cost of ploughing the field at ₹20 per sq m is :
₹ 90,000
₹ 1,20,000
₹ 1,80,000
₹ 3,60,000

Mathematics

Assertion (A): The area of rhombus is 84 cm2. If its one diagonal is 7 cm, then side of the rhombus is 12 cm. Reason (R): Area of rhombus is given by × product of its diagonals. 1. A is true, R is false 2. A is false, R is true 3. Both A and R are true 4. Both A and R are false

Mensuration

Related Questions

A field is in the shape of parallelogram, whose adjacent sides are 120 m and 170 m. If its one diagonal is 250 m, then cost of ploughing the field at ₹20 per sq m is :₹ 90,000₹ 1,20,000₹ 1,80,000₹ 3,60,000

A field is in the shape of parallelogram, whose adjacent sides are 120 m and 170 m. If its one diagonal is 250 m, then cost of ploughing the field at ₹20 per sq m is :
₹ 90,000
₹ 1,20,000
₹ 1,80,000
₹ 3,60,000