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Diagonals of a Rhombus Bisect Each-Other at Right Angles

In the given ...

Question

In the given figure, ABCD is a rhombus. Then,

(a) $A C^{2} + B D^{2} = A B^{2}$

(b) $A C^{2} + B D^{2} = 2 A B^{2}$

(c) $A C^{2} + B D^{2} = 4 A B^{2}$

(d) $2 (A C^{2} + B D^{2}) = 3 A B^{2}$

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Solution

(c) $A C^{2} + B D^{2} = 4 A B^{2}$

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Similar questions

Q. In the given figure, ABCD is a rhombus. Then,
(a) AC² + BD² = AB²
(b) AC² + BD² = 2AB²
(c) AC² + BD² = 4AB²
(d) 2(AC² + BD²) = 3AB²

Q. In a rhombus ABCD show that

4 A B^{2} = A C^{2} + B D^{2}

Q. In the rhombus

A B C D

4 A B^{2} = A C^{2} + B D^{2}

.

A B C D

is rhombus. Prove that

{A C}^{2} + {B D}^{2} = 4 {A B}^{2}

A B C D

is a rhombus then prove that

{4 A B}^{2} = {A C}^{2} + {B D}^{2}

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Diagonals of a Rhombus Bisect Each-Other at Right Angles

Standard IX Mathematics

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