Such triangle is considered a rectangular triangle, one of corners of which is equal to 90 degrees, and two others are acute angles. Calculation of perimeter of such triangle will be dependent on amount of the known data about it.
It is required to you
- Depending on a case, knowledge of two of three parties of a triangle and also one of its acute angles.
Instruction
1. Way 1. If all three parties of a triangle are known, then irrespective of whether a rectangular triangle or not, its perimeter will be calculated so: P = a + b + c, where, let us assume, with - a hypotenuse; an and b - legs.
2. Way 2. If in a rectangle there are only 2 known parties, then, using Pythagorean theorem, the perimeter of this triangle can be calculated by a formula: P = v (a2 + b2) + a + b, ilir = v (c2 – b2) + b + page.
3. Way 3. Let in rectangular triangle the hypotenuse of c and an acute angle be given?, it will be possible to find perimeter thus: P = (1 + sin? + cos?) *с.
4. Way 4. It is given what length of one of a leg is equal in a rectangular triangle to a, and opposite to it the acute angle lies?. Then calculation of perimeter of this triangle will be conducted on a formula: P = a * (1/tg? + 1/sin? + 1)
5. Way 5. Let the leg of an and a corner, adjacent to it, is known to us?, then the perimeter will be calculated so: P = a * (1/ctg? + 1/cos? + 1)