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What is the vertex of this equation?

In this equation, the vertex of the parabola is the point (h,k) . You can see how this relates to the standard equation by multiplying it out: y=a(x−h)(x−h)+ky=ax2−2ahx+ah2+k . This means that in the standard form, y=ax2+bx+c , the expression −b2a gives the x -coordinate of the vertex.

What is the vertex in math?

A vertex (or node) of a graph is one of the objects that are connected together. The connections between the vertices are called edges or links. A graph with 10 vertices (or nodes) and 11 edges (links).

What is the vertex of triangle?

The vertex (plural: vertices) is a corner of the triangle. Every triangle has three vertices. The base of a triangle can be any one of the three sides, usually the one drawn at the bottom. You can pick any side you like to be the base.

How many vertex are there in a triangle?


How do you calculate the Orthocenter?

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.

Which centers are always inside the triangle?

The centroid is always inside the triangle, whether it be acute, right or obtuse. The centroid is the center of mass (the balancing point) of the triangle.

Why is it called the Orthocenter?

We know that the orthocenter of a triangle is the place where the triangle’s three altitudes intersect. And according to Wolframalpha, the name “orthocenter” was invented by people named Besant and Ferrers.

What is concurrency in Triangle?

A point of concurrency is where three or more lines intersect in one place. Incredibly, the three angle bisectors, medians, perpendicular bisectors, and altitudes are concurrent in every triangle.