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Ksju [112]
3 years ago
10

If DB= 9 and DC= 4, find the length of segment DA​

Mathematics
1 answer:
Maksim231197 [3]3 years ago
4 0

Answer:  DA = 6

====================================================

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)

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Step-by-step explanation:

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6 0
4 years ago
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