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The perimeter of parallelogram ABCD is equal to 10 cm. Find the length of diagonal
BD
if you know that the perimeter of triangle ABD is 8 cm.

Respuesta :

If the perimeter of paralleloram ABCD is AB + BC + CD + DA = 10 cm
and AB = DC and AD = BC then AB + AD = 5 cm 
Or perimeter of triangle ABD is 8 cm then AB + AD + BD = 8 cm
then BD = AB + AD + BD - AB - AD = 8 - 5 = 3

The length of diagonal BD is 3.

We have given that  the perimeter of parallelogram ABCD is

AB + BC + CD + DA = 10 cm

We have to calculate length of diagonal BD

And we know that the perimeter of triangle ABD is 8 cm.

and

AB = DC and AD = BC then AB + AD = 5 cm

Or perimeter of triangle ABD is 8 cm then

What is the perimeter of the tingle ABD?

AB + AD + BD=Perimeter

Therefore,

AB + AD + BD = 8 cm

BD = AB + AD + BD - AB - AD = 8 - 5 = 3

Therefore we get  

The length of diagonal BD is 3.

To learn more about the diagonal visit:

https://brainly.com/question/2005046

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