You will need

- - notebook;
- - the range;
- pencil;
- - handle;
- calculator.

Instruction

1

Side - side right angled

The question also says that the triangle is isosceles. This means that

**triangle**, forming a right angle. Opposite the right angle side**of a triangle**is called the hypotenuse.Since the job appears the concept "leg", we can conclude that the triangle is rectangular.The question also says that the triangle is isosceles. This means that

**the legs**are equal. To solve this type of task enter the legend. We denote the sides**of a triangle**with the letters a, a, b, where a is**the legs**, and hypotenuse. (see Fig. 1)2

This:

a = a

s = 20 (a value chosen arbitrarily to illustrate the solution)Find: a

a = a

s = 20 (a value chosen arbitrarily to illustrate the solution)Find: a

3

To find

**the legs**of isosceles**triangle**, use the Pythagorean theorem. It States that the square of the hypotenuse of a rectangular**triangle**is equal to the sum of the squares of the other two sides. Formula: a^2+at^2=s^2.4

The solution:a^2+a^2=C^2

2A^2=C2 (this conversion happened because in our specific task, both sides are equal)

Substitute the known data:

2A^2=400 (400 is the square of the hypotenuse)

a^2=200 (both parts of the equation are divided into two)

a=√200 10√2Ответ: √200

2A^2=C2 (this conversion happened because in our specific task, both sides are equal)

Substitute the known data:

2A^2=400 (400 is the square of the hypotenuse)

a^2=200 (both parts of the equation are divided into two)

a=√200 10√2Ответ: √200

Note

The legs exist only in a right triangle.

Useful advice

Verna theorem and inverse theorem of Pythagoras: if the square side of the triangle is equal to the sum of the squares of the other two sides, then the triangle is rectangular.