Question

please answer this question soon.. the correct answer will be marked! :)​

Answer 1

Answer:

I guess 6 cm

Step-by-step explanation:

please mark as brainliest and follow

Answer 2

Answer:

6.5 cm

Step-by-step explanation:

As per the provided information in the given question, we have:

• HOME is a parallelogram with diagonals HM and EO that meets at A.
• Length of AH is 3 cm.
• Length of EO is 7 more than HM.

We've been asked to calculate the value of AE.

We know, that the diagonals of parallelogram bisects each other. So,

$\twoheadrightarrow\quad\sf{AH=AM}$

As it is given in the question that, the length of AH is 3 cm.

$\twoheadrightarrow\quad\sf{AM=3\; cm}$

Here, we have calculated the length of AM that is 3 cm.

Now, we can observe that HM is the sum of AH and AM. So,

$\twoheadrightarrow\quad\sf{HM=AH+AM}$

Equating values of AH and AM, in order to perform addition.

$\twoheadrightarrow\quad\sf{HM=3+3}$

Performing addition in order to calculate the length of HM.

$\twoheadrightarrow\quad\sf{HM=6\: cm}$

As it was given in the question, that the length of EO is 7 more than HM. So,

$\twoheadrightarrow\quad\sf{EO=7+HM}$

Equating value of HM as 6 cm.

$\twoheadrightarrow\quad\sf{EO=7+6}$

Performing addition in order to calculate the length of EO.

$\twoheadrightarrow\quad\sf{EO=13\: cm}$

We know, that the diagonals of parallelogram bisects each other. So,

$\twoheadrightarrow\quad\sf{AE=\dfrac{EO}{2}}$

Equating value of EO as 13 cm.

$\twoheadrightarrow\quad\sf{AE=\dfrac{13}{2} }$

Performing division.

$\twoheadrightarrow\quad\underline{\boxed{\bold{AE=6.5\: cm}}}$

❝ Therefore, length of AE is 6.5 cm. ❞