Question

How many different triangles can you make if you are

given these three lengths for sides?
17 cm
13cm
23cm

Answer 1

1 triangle can be formed

We are given three side lengths, which are 17cm, 23cm, and 13cm. So, we can form the triangle when;

17 + 23 > 13

17 + 13 > 23

23 + 13 > 17

Since the above conditions are met, then we can form one triangle.

Now, each next triangle with the same sides lengths will be congruent to the first triangle by SSS postulate.

SSS postulate states that: If the three sides of a triangle are congruent to the three sides of another triangle, then the two triangles are congruent.

Thus, only 1 triangle can be formed.

Explanation:

Credits to AFOKE88 for this answer!