Step-by-step explanation:
A) A right isosceles triangle - This triangle will have two equal sides and a right angle, making it unique.
B) A triangle with side lengths of 6cm, 8cm, 10cm - This is a unique triangle known as a Pythagorean triple, satisfying the Pythagorean theorem (a^2 + b^2 = c^2), where a, b, and c are the sides of the triangle.
C) A triangle with angles all measuring 60 degrees - This is an equilateral triangle, which is unique.
D) A right triangle with angle measures of 55°, 35°, and 90° - This is also a unique triangle, known as a 55-35-90 triangle, where the sides follow a specific ratio.
So, all of the given options will produce unique triangles.
