Question

The length of the two altitude of parallelogram are 4cm and 6cm and the perimeter of the parallelogram is40cm find the sides of the parallelogram

Answer 1

Answer:

The sides are 2 parallel sides of  8  cm  length and 2 parallel sides of  

12 cm length.

Answer 2

Answer:

The sides are $8cm$ and $12cm$.

Step-by-step explanation:

It is given that the length of the two altitude of parallelogram are $4cm$ and $6cm$.

Perimeter is $40cm$.

It means that the sum of two sides is $20cm$.

Now height $asinx=4$

x is acute angle between two sides.

and $bsin(\pi -x)=6$

$bsinx=6$

Dividing, we get

$\frac{a}{b} =\frac{4}{6}$

$a=4b/6$

Using it in sum of sides

$b+4b/6=20$

$b=12$

hence $a=8cm$

#SPJ2