Question

In parallelogram ABCD, bisector of <A intersect CD at M. If AB=8 and BC=5, then find CM.​

Answer 1

Answer♡

Given

Base of parallelogram is 5times it's height

Area of parallelogram is 6480m²

To Find

Height of the parallelogram

Solution

Let us assume that the height of the parallelogram be 'x'

According to the question

base is 5times it's height

So,base would be 5x

Now ,we have base 5x and height x

Area is given so,we will apply area of Parallelogram formula.

Area of parallelogram=Base × height

=>Area of parallelogram= 5x × x

=>6480=5x²

=>1296=x²

=>x=√1296

=>x= 36

height of Parallelogram is 36m

Base of the parallelogram = 5× 36=180m

Check

=>Area of Parallelogram=180 × 36

=>Area of Parallelogram=6480m²

Extra information=>

A parallelogram is a quadrilateral having opposite sides parallel.

The opposite angles are also equal.

Diagonals of parallelogram bisects it into two equal congruent triangles

The sum of square of all the sides is equal to the square of the Diagonals (Parallelogram law)

✌✌✌✌✌✌✌✌✌✌

hope that u r helpful

please follow thank and brinlylist please