Question

loangths of the diagonals of a rhombus are 20 cm and 250m respectively find its area. →​

Answer 1

Answer:

Here, PQRS is a rhombus.

PR=20,cm and QS=48cm

We know the diagonals of a rhombus bisect each other perpendicularly.

∴ PR⊥QS

PO=

2

1

×PR=

2

1

×20cm=10cm

OS=

2

1

×QS=

2

1

×48cm=24cm

△POS is a right-angled triangle.

∴ (PS)

2

=(PO)

2

+(OS)

2

[ By Pythagoras theorem ]

⇒ (PS)

2

=(10)

2

+(24)

2

⇒ (PS)

2

=100+576

⇒ (PS)

2

=676

⇒ PS=26cm

All sides of a rhombus are equal.

∴ PQ=QR=RS=SP=26cm

Step-by-step explanation:

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