What is the area of triangle with vertices?

To find the area of a triangle where you know the x and y coordinates of the three vertices, you’ll need to use the coordinate geometry formula: area = the absolute value of Ax(By – Cy) + Bx(Cy – Ay) + Cx(Ay – By) divided by 2.

How do you find the orthocenter of a triangle with 3 vertices?

Find the equations of two line segments forming sides of the triangle. Find the slopes of the altitudes for those two sides. Use the slopes and the opposite vertices to find the equations of the two altitudes. Solve the corresponding x and y values, giving you the coordinates of the orthocenter.

How do you find the third vertex of a triangle?

1. The area of a triangle is 5. Two of its vertices are (2,1) and (3,−2). The third vertex lies on y=x+3.
2. The area of a triangle is 5 and its two vertices are A(2,1) and B(3,−2). The third vertex lies on y=x+3.
3. Two vertices of a triangle are (1,4) and (5,2). If its centroid is (0,−3), find the third vertex.

What are triangle vertices?

3Triangle / Number of vertices

What is the orthocentre of triangle?

The orthocenter of a triangle is the intersection of the triangle’s three altitudes. It has several important properties and relations with other parts of the triangle, including its circumcenter, incenter, area, and more.

What is the formula of Orthocentre?

the abscissa of the orthocentre is given by, X=[( x1 tan A + x2 tan B + x3 tan C)/(tan A + tan B + tan C)] . The ordinate of the orthocentre is given by, Y=[(y1 tan A + y2 tan B + y3 tan C)/(tan A + tan B + tan C)] .

What is vertices of a triangle?

What is the orthocenter of a triangle with a 90 degree vertex?

Since (0, 0); (3, 0); (0, 4)is a right triangle, the 90 deg vertex, (0, 0) is the orthocenter. Equation of perpendicular is y= MX (passing through the origin). How this 19-year-old earns an extra $3600 per week. His friends were in awe when they saw how much money he was making.

What is the number of vertices of a triangle?

The vertices of a triangle are (0,0) (3,0) and (0,4).

What is the orthocentre of the vertices of ABC?

Let the vertices of Δ ABC be given as: A (0, 0), B (3, 0) and C (0, 4) The orthocentre O is the point of intersection of the altitudes drawn from the vertices of Δ ABC on the opposite sides. y – 0 = 4 3 4 3 (x -0) ⇒ 4y = 3x

Where do the altitudes of right angles of a triangle meet?

Intuitively this makes sense because the orthocenter is where the altitudes intersect. Hence, in a right triangle, the vertex of the right angle is where you would expect the altitudes to meet, at 90 degrees, where the legs of the right triangle are perpendicular.