Table of Contents

## How do you find the area of a triangle when given 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 perimeter in coordinate geometry?

To use the coordinate plane to help you find the perimeter and area of various shapes, you first draw the shape on the coordinate plane and then you count the number of unit squares the shape takes up. For the perimeter, it’s the number of unit squares that go around the shape.

**What is the formula in finding the perimeter of a triangle?**

The perimeter of a triangle can be calculated by simply adding the length of all the sides. The basic formula to calculate the perimeter of a triangle with sides ‘a’, ‘b’, and ‘c’ is: a + b + c.

**How to find the area of a triangle with 3 vertices?**

Given the coordinates of the three vertices of any triangle, the area of the triangle is given by: where A x and A y are the x and y coordinates of the point A etc.. This formula allows you to calculate the area of a triangle when you know the coordinates of all three vertices.

### How to find the length of a triangle using coordinates?

The length can be found using the distance formula. The procedure to find the area of a triangle when the vertices in the coordinate plane is known. Let us assume a triangle PQR, whose coordinates P, Q, and R are given as (x 1, y 1 ), (x 2, y 2 ), (x 3, y 3 ), respectively.

### How do you find congruent triangles on the coordinate plane?

Congruent Triangles on the Coordinate Plane. Recall the SSS Congruence Theorem: If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. Given two triangles on a coordinate plane, you can check whether they are congruent by using the distance formula to find the lengths of their sides.

**How do you find the area of a triangle ABC?**

Given the coordinates of the three vertices of a triangle ABC, the area can be foiund by the formula below. Try this Drag any point A,B,C. The area of the triangle ABC is continuously recalculated using the above formula. You can also drag the origin point at (0,0).