If a vertices of a triangle is given then find the orthocentre
Answers
Answer:
The orthocenter of a triangle is denoted by the letter 'O'.
There is no direct formula to calculate the orthocenter of the triangle.
The orthocenter of a triangle can be calculated using the following steps:
Step 1: Calculate the slope of the sides of the triangle. The formula to calculate the slope is given as,
Slope of a line=(y2-y1)/(x2-x1).
Step 2: Calculate the perpendicular slope of the sides of the triangle. It gives us the slope of the altitudes of the triangle. The formula to calculate the perpendicular slope is given as,
Perpendicular slope of line= —1/slope of a line
Step 3: Then by using point slope form, calculate the equation for the altitudes with their respective coordinates. The point slope formula is given as,
Point slope formula, (y-y1)=m(x-x1)
Step 4: Finally by solving any two altitude equation, we can get the orthocenter of the triangle.
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Answer:
YES IT IS POSSIBLE.
Step-by-step explanation:
The orthocenter is the point where all three altitudes of the triangle intersect. An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side. There are therefore three altitudes in a triangle.
The orthocenter of a triangle is denoted by the letter 'O'.
There is no direct formula to calculate the orthocenter of the triangle.
The orthocenter of a triangle can be calculated using the following steps:
Step 1: Calculate the slope of the sides of the triangle. The formula to calculate the slope is given as,
Slope of a line=(y2-y1)/(x2-x1).
Step 2: Calculate the perpendicular slope of the sides of the triangle. It gives us the slope of the altitudes of the triangle. The formula to calculate the perpendicular slope is given as,
Perpendicular slope of line= —1/slope of a line
Step 3: Then by using point slope form, calculate the equation for the altitudes with their respective coordinates. The point slope formula is given as,
Point slope formula, (y-y1)=m(x-x1)
Step 4: Finally by solving any two altitude equation, we can get the orthocenter of the triangle.