In a rectangular triangle a leg call the party adjacent to a right angle, and a hypotenuse - the party, opposite to a right angle. All parties of a rectangular triangle are connected among themselves by certain ratios, and these invariable ratios will help us to find a hypotenuse of any rectangular triangle on the known leg and a corner.
It is required to you
- The paper, the handle, the table of sine (is on the Internet)
Instruction
1. Let's designate the parties of a rectangular triangle by small letters and, b and c, and opposite it corners, respectively, And, And yes S. Predpolozhim, are known a leg and and opposite to it a corner And.
2. Then we will find a sine of the angle And. For this purpose we will find the value corresponding to the set corner in the table of sine. For example, if the corner And is equal to 28 degrees, then its sine is equal to 0.4695.
3. Knowing a leg and and a sine of the angle And, we will find a hypotenuse, having divided a leg and into a sine of the angle And. (c = a/sin A). The point of this action will become clear if to remember that the sine of the angle And is the relation of an opposite leg (a) to a hypotenuse (c). That is sin A =a / with, and is easily brought out of this equation a formula which we just used.
4. If are known a leg and and an adjacent corner In, then before starting performance of steps 2 and 3, we will find a corner And. For this purpose from 90 (in a rectangular triangle the sum of acute angles is 90 degrees) we will subtract value of the known corner. That is, if the corner known to us has a-degree measure 62, then 90 - 62 = 28, that is the corner And is equal to 28 degrees. Having calculated a corner And, simply we repeat the actions described in steps 2 and 3, and we receive page hypotenuse length.