The ratio of the height of shape A to the height of shape C is
<h3>Calculations and Parameters:</h3><h3>First step:</h3>
Recall that similar figures have the same scale factor squared due to the ratio of its surface area.
Hence,
We would make:
- z-----> the scale factor
- x----> surface area shape A
- y----> surface area shape B
Therefore, the ratio of the height of shape A to the height of shape B is =
<h3>Next step:</h3>
To find the ratio of the height of shape B to the height of shape C, we would perform a similar operation which is:
The ratio is:
<h3>Final step:</h3>
To find the ratio of the height of shape A to the height of shape C would be:
= 6/20
= 3/10
Read more about the ratios here:
brainly.com/question/12357318
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