# How do you find the area of a triangle whose vertices of triangle are (2,0,0) ; (0,3,0) ; (0,0,5)?

##### 2 Answers

#### Explanation:

The most general way to find the area of a triangle given three or more dimensional coordinates is to use Archimedes' Theorem. A triangle with **squared** sides

Here we have

Given the coordinates of the vertices of a triangle.

Use the points to make two vectors,

Compute the cross-product

#### Explanation:

Compute the vector from

Compute the vector from

This reference tells you how to compute the Cross product.

The cross product

The magnitude of

The area of the triangle is half of the magnitude: