Question

the lenth of diaginal of a rambus are 10 cm and 24 cm. find it's perimeter


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Answer 1

Answer:

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Diagonals of the rhombus 10,24 cm

since the diagonals meet at the center of the rhombus,

they create 4 right angles in the center.

so in this, we can use the Pythagoras theorem, which

states that the sum of squares on the height and

the base of a right angle is equal is square on the

hypotenuse.

Length of the base =

2

10

=5 cm

Length of the height =

2

24

=12 cm.

By Pythagoras theorem,

Hypotenuse=(5)

2

+(12)

2

(AB)

2

=25+144

(AB)

2

=169

2

=AB=

(13)

2

∴ Hypotenuse =13 cm

So, the side of a rhombus is 13 cm.

the perimeter of the rhombus =4×side

=4×13

=52 cm

Therefore, the perimeter of the rhombus is 52 cm.

solution