The greatest angle of the triangle with sides measuring 3cm, 4cm, and 5cm is 90 degrees.
Here's why:
- Pythagorean Theorem: This triangle satisfies the Pythagorean theorem (a² + b² = c²), where 'c' is the longest side (hypotenuse). In this case, 3² + 4² = 5².
- Right Triangle: The Pythagorean theorem is a defining characteristic of right triangles. Therefore, the triangle with sides 3cm, 4cm, and 5cm is a right triangle.
- Right Angle: The right angle (90 degrees) is always the largest angle in a right triangle.
Therefore, the greatest angle in the triangle with sides 3cm, 4cm, and 5cm is 90 degrees.
