What is the formula to find the orthocenter of a triangle?

There is no direct formula to calculate the orthocenter of the triangle. It lies inside for an acute and outside for an obtuse triangle. Altitudes are nothing but the perpendicular line ( AD, BE and CF ) from one side of the triangle ( either AB or BC or CA ) to the opposite vertex.

How do you find the distance between the Orthocentre and the circumcenter of a triangle?

AB=1.5 BC=2 ans AC=2.5 It is a right angle triangle with right angle at B.B is ortho center and midpoint of AC is circum center. The distance between them is 2.5/2=1.25 cm.

Is the triangle with sides 13cm 16cm and 18cm a right triangle give reason?

No, The triangle with the above measures can’t be a right angled triangle. In a right angled triangle, Square of hypotenuse should be equal to sum of squares of other two sides.

What is Excentre of a triangle?

Excentre of a triangle is the point of concurrency of bisectors of two exterior and third interior angle. Hence there are three excentres I1, I2 and I3 opposite to three vertices of a triangle.

What is excenter of a triangle?

Excenter of a triangle A point where the bisector of one interior angle and bisectors of two external angle bisectors of the opposite side of the triangle, intersect is called the excenter of the triangle.

How do you find the distance between the circumcentre and the centroid?

In any triangle, the orthocenter, circumcenter and centroid are collinear. The squared distance between the centroid and the circumcenter along the Euler line is less than the squared circumradius by an amount equal to one-ninth the sum of the squares of the side lengths a, b, and c.

How do you find the Exradius of a triangle?

An excircle can be constructed with this as center, tangent to the lines containing the three sides of the triangle. The exradii of a triangle with sides a, b, c are given by ra = ∆ s – a , rb = ∆ s – b , rc = ∆ s – c . (a + b + c). r ra =s – a s .