Find the area of the triangle with vertices: Q(4,4,-1), R(5,7,-2), S(3,2,-4).

The area of the triangle is 5.875 square units.

Step-by-step explanation:

First, we need to calculate the lengths of the triangle by means of Pythagorean Theorem:

Now, we can use the following formula to fid the area of the triangle (), measured in square units:

Where:

- Semiperimeter of the triangle, dimensionless.

, , - Sides of the triangle, dimensionless.

The semiperimeter can be determined by this:

If we know that , and , the area of the triangle is:

The area of the triangle is 5.875 square units.

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step-by-step explanation:

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