Principal Properties Of Right Triangles

posted on: 21 Apr, 2012 | updated on: 18 Jun, 2012

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.

Topics Covered in Principal Properties Of Right Triangles

Area of Right Triangle

posted on: 21 Apr, 2012 | updated on: 23 Apr, 2012

We know that polygons are closed figures made up of line segments only. Now that all closed figure enclose some region within it. This enclosed region inclusive of the boundary of the Polygon is called the area of the polygon. Area of any polygon is measured in terms of the squares of 1 unit each that can accommodate in the figure. Now polygons being rectilinear f...Read More

Inradius and Circumradius

posted on: 28 Apr, 2012 | updated on: 23 May, 2012

Circular Geometry contains different kind of radius like inradius and circumradius. In radius is a radius, which is the part of in Circle or in Sphere and circumradius is a radius, which is part of circumcircle or cicumsphere. Now question arises how we calculate inradius and circumradius of a Polygon:
We use following steps for evaluating an in radius and cir...Read More

Altitude

posted on: 16 Jun, 2012 | updated on: 18 Jun, 2012

Dropping of a Geometry altitude is a special case of orthogonal projection. An altitude in geometry is the shortest distance from the top or vertex of a geometric figure to the opposite side or base of that geometric figure.
Geometry altitude of a triangle is nothing but a straight line through the top Point or vertex and it makes a Right Angle or is perpendicular with a line ...Read More

Further Read

Principal Properties Of Right Triangles FAQs

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in Pythagorean Theorem Worksheet
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