Directions: Using the digits 0 to 9 at most one time each, create two similar triangles. You may have as many leading zeros as you like.

### Hint

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

What is true about the corresponding sides of similar triangles?

What is true about the corresponding sides of similar triangles?

### Answer

There are many answers. Here are the possibilities:

YA – 5

AH – 10

YB – 3

BV – 6

BA – 9

VH – 27

YA – 5

AH – 10

YB – 3

BV – 6

BA – 9

VH – 27

Source: Drew Ross

In your solution the sides of your smaller triangle are 3, 5, and 9. There is no such possible triangle as the sun of any two sides of a triangle must be greater than the third. 3 + 5 = 8, thus you cannot have a 3,5,9 triangle. The larger triangle is also impossible since it is a dilation of the smaller figure.

Here’s one solution I found…

YA – 4

AH – 8

YB – 5

BV – 10

BA – 3

VH – 9