Finding of legs of an isosceles triangle - the task demanding theoretical knowledge, spatial and logical thinking. Also the correct execution of the decision is not less important.
It is required to you
- - notebook;
- - ruler;
- - pencil;
- - handle;
- - calculator.
Instruction
1. A leg - the party of a rectangular triangle forming a right angle. The party of a triangle is calledhypotenuseof .Tak opposite to a right angle as appears in a task the concept ""leg"", we can draw a conclusion that a triangle - rectangular. In a question it is also told that a triangle isosceles. It means that legs are equal. For the solution of it like tasks enter symbols. Let's designate the parties of a triangle by letters a, a, v where and - legs, and in - a hypotenuse. (see fig. 1)
2. Given: and = the expert = 20 (the value is chosen randomly for a decision illustration) to Find: and
3. To find legs of an isosceles triangle, use Pythagorean theorem. It says that the square of a hypotenuse of a rectangular triangle is equal to the sum of squares of legs. Formula: а^2+ в^2= с^2.
4. Decision: а^2+ а^2= с^22а^2= s2 (this transformation happened because both legs are equal in our specific objective) we Substitute the known data: 2а^2=400 (is 400 a square of a hypotenuse) а^2=200 (both members of equation are divided into two) and = √ 200 or 102otvet: √200