FInding the area of pentagon (on x,y,z axis) using trinagles?

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SUMMARY

The area of the pentagon PQRST with vertices P = (1,1,1), Q = (5,−3,1), R = (9, −1, −5), S = (2, 6, −5), and T = (1, 2, 0) can be calculated by dividing it into non-overlapping triangles. Each triangle's area is determined using the formula for the area of a triangle in 3D space. After calculating the areas of the individual triangles, the total area of the pentagon is obtained by summing these areas.

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rbec_campbell
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Hi,
I need to do this for some homework and I don't really understand... could anyone help with the following question:

Find the area of the pentagon PQRST with vertices P = (1,1,1), Q = (5,−3,1), R = (9, −1, −5), S = (2, 6, −5), T = (1, 2, 0). Hint: divide the pentagon into triangles.

Thankyou!
 
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Draw the pentagon on a piece of paper. Identify the non-overlapping triangles defined by the points you're given. Calculate the area of each of these triangles. Add them together.
 

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