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GoddessofDork

So with this, you will be using proportions. In this case, our proportion is: [tex] \frac{16}{x}=\frac{x}{9} [/tex]

Firstly, cross-multiply: x^2=144

Next, square root both sides of the equation, and your answer will be x = 12

The missing length of the given triangle with measurements using triangle proportion is; x = 12

How to solve triangle proportions?

The side with x is a reflexive side of both triangles and as such from triangle proportionality theorem we can say that;

x/y = 16/x

where y is the smaller side of the base out of whcih 16 has been taken.

Thus;

y = 25 - 16

y = 9

x/9 = 16/x

cross multiply to get;

x² = 16 * 9

x = √144

x = 12

Thus, we conclude that the missing length indicated is x = 12.

Read more about triangle proportions at; https://brainly.com/question/8160153