Question

ABCd is a parallelogram in whose diagonal intersect each other at right angles. if the length of the diagonal is6cm and8cm find the length of all sides of parallelogram​

Answer 1

Required Answer:

All sides of parllogram= 5cm

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Question:

ABCD is a parallelogram in whose diagonal intersect each other at right angles. if the length of the diagonal is6cm and8cm find the length of all sides of parallelogram.

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To find:

• Length of all sides

Given:

• Length of two digonals: 6cm and 8cm

Let:

• The point of intersection between digonals be O.

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Answer:

BD= 2 BO

.°. BO = 4 cm

AC = 2 AO

.°. AO = 3 cm

• ⟹(AB)²=(AO)² +(BO)²
• ⟹(AB)²=(3)²+(4)²
• ⟹(AB)²=9+16
• ⟹(AB)²=25
• ⟹(AB)²=√25
• ⟹AB=5✓

AB = DC= BC=AD

reason:

As digonals intersect at 90⁰ from which we came to know it is it is rhombus and all sides of rhombus are equal.

.°. AB=5

BC=5

DC=5

AC=5

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Hope it helps!