Respuesta :

Answer:  DA = 6

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Explanation:

The triangles are similar, allowing us to make the proportion below

DB/DA = DA/DC

Plug in the given values. Cross multiply and solve for x

DB/DA = DA/DC

9/DA = DA/4

9*4 = (DA)*(DA)

36 = (DA)^2

(DA)^2 = 36

DA = sqrt(36)

DA = 6

The length of DA is exactly the geometric mean of the lengths BD and DC

geometric mean of x and y = sqrt(x*y)

shristiparmar1221

This question is based on line segment. Therefore, the value of DA  is 6.

Given:

DB= 9 and DC= 4

We need to determined the length of DA.

According to question,

In given figure, we observe that  both the triangles are similar.Therefore we make proportion as below,

[tex]\dfrac{DB}{DA} \:=\: \dfrac{DA}{DC}[/tex]

Substitute the given value in above proportion.We get,

[tex]\dfrac{9}{DA} \:=\: \dfrac{DA}{4}[/tex]

Now, solve it further,

[tex]\begin{aligned}(DA)^{2} &= 36\\DA&=\sqrt{36} \\ \bold{DA&=6}\end{aligned}[/tex]

Thus, the value of DA is  6.

For further details, please prefer this link:

https://brainly.com/question/14060841

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