Exploring Triangles and Their Properties

What type of triangle has all sides of different lengths?

If a triangle has sides of lengths 3 cm, 4 cm, and 5 cm, what type of triangle is it?

Using the Pythagorean theorem, find the length of the hypotenuse of a right triangle with legs of 6 cm and 8 cm.

What is the sum of the interior angles of a triangle?

If one angle of a triangle is 90 degrees, what type of triangle is it?

Calculate the area of a triangle with a base of 12 cm and a height of 9 cm.

If a triangle has angles measuring 30 degrees and 60 degrees, what is the measure of the third angle?

What is the exterior angle of a triangle if one of the interior angles is 50 degrees?

Identify the type of triangle with angles measuring 45 degrees, 45 degrees, and 90 degrees.

If the lengths of two sides of a triangle are 7 cm and 10 cm, what is the range of possible lengths for the third side?