Formulate the properties of a right-angled triangle.
There are many properties of a right-angled triangle. Let’s start with the sum of the sharp corners.
1. The sum of the acute angles of a right-angled triangle is 90 °.
The same property related to corners:
2. The leg, lying opposite an angle of 30 °, is equal to half of the hypotenuse.
The hypotenuse property sounds like this:
3. The hypotenuse of the right-angled triangle is larger than each of the legs.
4. Two heights of a right-angled triangle coincide with its legs.
5. The median of a right-angled triangle, drawn from the vertex of the right angle to the hypotenuse, is the radius of the circle circumscribed about this triangle.
Described circle property:
6. The center of the circumscribed circle of a right-angled triangle lies in the middle of the hypotenuse.
And the main one is the Pythagorean theorem. In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.
c ^ 2 = a ^ 2 + b ^ 2.