Tory is painting a design on her jacket. The side lengths measure 14 cm, 16 cm and 12 cm. What type of triangle is this?

scalene?

in an isosceles triangle the vertex angle measures 90 degrees and the length of each congruent leg is 5√2. whats the length of the base?

To determine the type of triangle, we need to examine the lengths of the triangle's sides.

In this case, the side lengths are 14 cm, 16 cm, and 12 cm. We can start by looking at the relationship between the side lengths.

If all three sides of the triangle are of equal length, then it is an equilateral triangle. However, in this case, the side lengths are not equal, so it cannot be equilateral.

Next, we check if two sides have the same length. If two sides are equal, then it is an isosceles triangle. However, in this case, none of the sides have the same length, so we can rule out an isosceles triangle as well.

Now, let's look at the remaining possibility, which is a scalene triangle. A scalene triangle is a triangle in which all three sides have different lengths. Given that the side lengths of this triangle are all different (14 cm, 16 cm, and 12 cm), we can conclude that this triangle is a scalene triangle.

To summarize, the triangle with side lengths measuring 14 cm, 16 cm, and 12 cm is a scalene triangle.