The main application of the leg rule is to calculate the legs (a and b) of the right triangle from the segments of the projections on the hypotenuse (n and m) and the latter (c). If we know the length of the legs and the length of the hypotenuse we can calculate the perimeter of a right triangle.
- Find the length of the legs of a right triangle ABC, in which the projections of the legs on the hypotenuse are n = 2 cm and m = 8 cm. These are the segments in which the altitude h (or height) divides the hypotenuse.
- Find the perimeter of this right triangle ABC.
- Applying the Geometric Mean (Leg) Theorem (or Leg Rule) we can find the length of the legs if we know the length of the two segments.
The hypotenuse is the sum of the two segments: c = n + m = 2 + 8 = 10 cm.
- When we know the length of the legs and the hypotenuse we can find the value of the perimeter:
Relationship between Legs and Hypotenuse
AUTHOR: Bernat Requena Serra