Question

Which side lengths form a right triangle?

Answer 1

Answer:

b) 3, 4, 5

Step-by-step 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