Directions: Using the digits 0 to 9 at most one time each and as many leading zeros as you like, place a digit in each box to create two similar triangles.

### Hint

Can you use the scale factor to help you in any way?

What is true about corresponding sides of similar triangles?

What is true about corresponding sides of similar triangles?

### Answer

There are many possible answers.

One possible answer:

YA – 5

AH – 10

YB – 3

BV – 6

BA – 9

VH – 27

One possible answer:

YA – 5

AH – 10

YB – 3

BV – 6

BA – 9

VH – 27

Source: Drew Ross

I believe the correct answer to VH should be 18 given that the ratios between the 2 corresponding sides is 1 : 2

So, the corresponding sides are 3 : 6 , 5 : 10 and therefore the 3 pair of corresponding sides should be 9 : 18?

Please confirm or show where I made my mistake in my calculation or assumption?

I believe the correct answer to VH should be 18 given that the ratios between the 2 corresponding sides is 1 : 2

So, the corresponding sides are 3 : 6 , 5 : 10 and therefore the 3 pair of corresponding sides should be 9 : 18?

Please confirm or show where I made my mistake in my calculation or assumption?

AH & BV are not side lengths. They are only part of those sides in the bigger triangle.