The correct option is
D Triangles I and III
The number written on Triangle I is 42.59.
Placing it in a place value table, we get:
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1481112/original_Screenshot_2021-12-23_100106.png)
In this number, 9 holds the hundredths place.
The number written on Triangle II is 24.95.
Placing it in a place value table, we get:
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1481113/original_Screenshot_2021-12-23_100116.png)
In this number, 9 holds the tenths place.
The number written on Triangle III is 21.09.
Placing it in a place value table, we get:
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1481114/original_Screenshot_2021-12-23_100129.png)
In this number, 9 holds the hundredths place.
The number written on Triangle IV is 12.90.
Placing it in a place value table, we get:
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1481116/original_Screenshot_2021-12-23_100141.png)
In this number, 9 holds the tenths place.
Hence, the numbers written on Triangles I and III have the digit 9 in the hundredths position.