A triangle is a geometric figure which is made of three straight lines and the sum of its angles is equal to 180 degree. A triangle is Right Triangle or right angled triangle if any one of its three angles is equal to 90 degree. The side opposite to the 90 degree angle or Right Angle is known as the hypotenuse.
The Properties of Right Triangle are properties that define a Right angled Triangle. The Properties of Right Triangles are:-
1) The area of the right triangle is one of the Properties of Right Triangle. The right angled triangle area can be measured by using the formula
Area= (1/2) *x*y where ‘x’ and ‘y’ can be considered as the two sides of the triangle.
This formula is used only for right angle triangle.
2) The height or Altitude are among the other Properties of Right Triangle is that if an altitude from the vertex of the right angle is drawn to the opposite side or the hypotenuse then two triangles are formed and both this triangles formed are similar to one another and the main triangle.
3) The pythagoras theorem states that if let ‘h’ be the hypotenuse and ‘x’ and ‘y’ be the two sides of the triangle then according to the pythagoras theorem it is stated that
(h2)= (x2) + (y2),
So, according to the formula hypotenuse’s Square is equal to the sum of the square of other two sides of the triangle. This is one of the Properties of Right Triangles.
4) The radius of in Circle and circumcircle of right angled triangle is the last property of the Properties of Right Triangles. According to this property the radius of the in circle of the triangle can be found using the formula r = (x + y-h)/2 where ‘x’ and ‘y’ are the two sides of a triangle and 'h' is the hypotenuse.
The radius of the circumcircle of a right angle triangle can be calculate using the formula r=h/2.
Where ‘h’ is the hypotenuse of the right angled triangle. This is one of the important Properties of Right Triangle.
So, above stated points are Properties of Right Triangles.
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