Answer:
b) 3, 4, 5
Explanation:
A right angled triangle is a triangle in which one of its the angles is 90°. The side opposite to the 90° (right angle) is called the hypotenuse, while the sides adjacent to the right angle are called the legs.
Pythagoras discovered a property for right angles and then created a theorem. This theorem states that:
In a right angled triangle, the square of the length of the hypotenuse is equal to the sum of the square of the other two lengths. It is given by the equation:
c² = a² + b², where c is the length of the hypotenuse (longer length) and a, b are the other length of the triangle sides.
To prove 3, 4, 5 for a right triangle:
3² + 4² = 9 + 16 = 25 = 5²
∴ 3² + 4² = 5²