Question

For each set of three side lengths in the table, determine how many unique triangles can be formed. Select the appropriate circle in each row.

Answer 1

The first one the 3 sides are equal to 1, this mean that it is a equilater triangle, so it is possible to made exactly one unique triangle.

now for the other triangles we will add the two shortest sides of the triangle, and if they are more than the greater side of the triangle, then it will be a unique triangle, if not there will be more than one triangle

for the second one:

`3+4=7>5`

so the second one have exactly one unique triangle.

for the number 3:

`5+10=15=15`

So in this case there is none unique triangles.

for the number 4:

`6+16=22<26`

So in this case there is none unique triangles.

and for the number 5:

`10+50=60>55`

So we hace exactly one unique triangle.