How to find area of triangle if we only know vertices?
But, how can we find area of triangle if we know only the coordinates of vertices of triangle. If, we know the vertices of triangle then we can definitely use distance formula to find the length of all the sides which can enable us to use Heron’s formula to find area of triangle. But, this will become too much lengthy and tedious.
What are the coordinates of the vertices of a trapezium?
Let the coordinates of vertices are (x1, y1), (x2, y2) and (x3, y3). We draw perpendiculars AP, BQ and CR to x-axis. = Area of Trapezium ABQP + Area of Trapezium BCRQ – Area of Trapezium ACRP
How do you use calculus to calculate the area of a curve?
Using calculus to calculate any area involves integration. Remember that the integral of the difference between two curves gives you the area between those curves, that is.
What is the most important thing when drawing a triangle?
The most important thing is to always draw a picture first and use it tofigure out what the equations of your lines are and in how many parts youneed to split the triangle to compute the area. Good luck on the interview, Patrick Go to Math Central
What is Triangle area calculator?
Triangle area calculator – step by step calculation, formula & solved example problem to find the area for the given values of base b, & height h of triangle in different measurement units between inches (in), feet (ft), meters (m), centimeters (cm) & millimeters (mm).
Is the area of triangle ABC equal to zero?
Suppose that the three points A (x1, y1), B (x2, y2) and C (x3, y3) are collinear, then they can not form a triangle. So, the area of triangle ABC is equal to zero. One can prove that the converse is also true. So, the area of triangle ABC is zero, if and only if the points A, B and C are collinear.
What is the formula to find the height of a triangle?
The best known and the simplest formula, which almost everybody remembers from school is: area = 0.5 * b * h, where b is the length of the base of the triangle, and h is the height/altitude of the triangle. However, sometimes it’s hard to find the height of the triangle.