Based on the right-angled triangle shown above, the lengths of the legs include the following: B. 4/√2 units.
Based on Pythagorean theorem, the length of sides of a right-angled triangle are always in the ratio 1 : 1 : √2, which can be rewritten as follows;
x : x: x√2.
Where:
x represent the length of sides of a right-angled triangle.
By applying the 45-45-90 triangle rule to the right-angled triangle shown above, the lengths of the legs can be calculated as follows:
4 = x√2
x = 4/√2 units.