Advice 1: How to find the hypotenuse knowing the lengths of the legs

Right triangle – a flat figure, which one of the angles is straight, that is, is ninety degrees. The sides of the triangle have names: the hypotenuse and two sides. The hypotenuse is the side of the triangle opposite the right angle, and the legs, respectively, adjacent to it. Basic math game parties is conducted through the Pythagorean theorem, which States that the sum of the squares of the legs equals the square of the hypotenuse. Think that sounds complicated, but actually everything is much simpler.
How to find the hypotenuse knowing the lengths of the legs
Instruction
1
Let the other two sides are designated a and b, and the hypotenuse is C, Then, record the Pythagorean theorem can be in the form:(C) second power = (a) second power + (in) in the second degree. Before find the value of the hypotenuse, you need to find squares of other two sides. Construct the second degree of the first leg, then the other. Example: the legs of a right triangle is equal to 3 and 4 inches. Then (4) squared = 16, and (3) squared = 9
2
After finding the values of the squares of the other two sides, find their sum. Not it is necessary first to summarize the expression under the sign of the second degree, it will make it more difficult and confusing to answer. Example: 16+9 = 25.
3
Then remove from the square root of the sum. After adding in the above example produces the equation: () square = 25, hence, the final answer has not been received.
Example: if you extract the square root of twenty five is five. This is the numerical value of the hypotenuse.

Advice 2: How to find the hypotenuse on the side and corners

Is called the hypotenuse side in a right triangle that is opposite the angle of 90 degrees. In order to calculate its length, enough to know the length of one of the legs and the size of one of the acute angles of the triangle.
How to find the hypotenuse on the side and corners
Instruction
1
At a known side and an acute angle of a right triangle, the hypotenuse can be equal to the ratio of the leg to the cosine/sine of that angle if the given angle is opposite him/yard:

h = C1(or C2)/sinα;

h = C1(or C2)/cosα.

Example: suppose that we are given right triangle ABC with hypotenuse AB and a right angle C. Let angle B equal 60 degrees, and angle a of 30 degrees Length of side BC is 8 cm Need to find the length of the hypotenuse AB. For this you can use any of the above methods:

AB = BC/cos60 = 8 cm.

AB = BC/sin30 = 8 cm.
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