The relationship between the waist and the bottom of an isosceles triangle is: the bottom =√(2* the square of the waist length) =(√2)* the waist length.
An isosceles right triangle is a special kind of triangle, which has all the properties of a triangle: stability, two right angles are equal, the right angles have an acute angle of 45, and the perpendicular of the median bisector on the hypotenuse is an integral.
The height on the hypotenuse of an isosceles right triangle is the radius r of the circumscribed circle, so let the radius r of the inscribed circle be 1 and the radius r of the circumscribed circle be √2+ 1, so r/r =1(√ 2+1).
Extended data:
The isosceles right triangle is a special isosceles triangle, which is characterized by:
1, and the two base angles are equal to 45.
2, the two waists are equal.
3. The ratio of three sides of an isosceles right triangle is 1: 1: √ 2.
Determination of isosceles triangle;
1, an isosceles triangle with a right angle, or a right triangle with two equal sides is an isosceles right triangle.
2. A triangle with the ratio of three sides 1: 1: √ 2 is an isosceles right triangle.
3. An isosceles triangle with a base angle of 45 is an isosceles right triangle.
4. A right triangle with an acute angle of 45 is an isosceles right triangle.
5. The right triangle with the ratio of right angle to hypotenuse 1: √ 2 is an isosceles right triangle.
6. A triangle with an angle of 45, the length ratio of the opposite side of this angle to its side is 1: √ 2 is an isosceles right triangle.