Question

find the perimeter and area of a rhombus in which the diagonals are 6 cm nd 8 cm .​

Answer 1

Answer:

Area is 24 cm² and perimeter is 20 cm.

Step-by-step explanation:

Area= 1/2 (d1)(d2)

=1/2(6)(8)

= 24 cm²

Diagonal 6cm = 3cm + 3cm = legs of right triangle within rhombus. 

Diagonal 8cm = 4cm + 4cm = legs of right triangle within rhombus. 

We need to find the side of the rhombus using the Pythagorean Theorem. 

After that, we use the formula P = 4s to find your perimeter. 

Let s = side of rhombus. 

3^2 + 4^2 = s^2 

9 + 16 = s^2 

25 = s^2 

5 = s

Perimeter= 4(side)

=4(5)

= 20 cm.

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