can 3cm 6cm 4cm be the sides of a right triangle
To determine if a set of three lengths can form the sides of a right triangle, you can use the Pythagorean theorem. This theorem states that for any right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
The Pythagorean theorem can be expressed with the formula:
a² + b² = c²
Where:
- c is the length of the hypotenuse,
- a and b are the lengths of the other two sides.
If the three lengths you've provided (3 cm, 6 cm, and 4 cm) satisfy this equation, they will form a right triangle. Since one of the lengths must be the hypotenuse and it must be the longest side of the triangle, in this case, 6 cm would be the hypotenuse. Let's check if these lengths satisfy the Pythagorean theorem:
a² + b² = c²
3² + 4² = 6²
9 + 16 = 36
25 ≠ 36
As you can see, 25 does not equal 36. Therefore, the sides of 3 cm, 6 cm, and 4 cm do not form a right triangle.