Question

diagonals of a rhombus measure 4cm and 10cm find its perimeter​

Answer 1

Answer:

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 =

10/2 =5 cm

Length of the height = 24/2=12 cm.

By Pythagoras theorem,

Hypotenuse=(5) ^2 +(12) ^2

(AB) ^2=25+144

(AB) ^2 m=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.

Step-by-step explanation:

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