Find the mass of the triangular lamina with vertices for the density .
A) 401k
B) 809k
C) 800k
D) 400k
E) 805k

Question

Find the mass of the triangular lamina with vertices  for the density  .
A) 401k 
B) 809k 
C) 800k 
D) 400k 
E) 805k

Quizplus · Accepted Answer

We can use the formula for the mass of a lamina:
mass = density * area
We can find the area of the triangular lamina using the coordinates of its vertices. Using the distance formula, we find that the length of one side of the triangle is approximately 24.83 units. Then using Heron's formula, we can find the area to be approximately 66.33 square units.
mass = density * area = (11eaa595_6299_388d_a696_816606a447d7_TB4584_11_TB4584_11) * (66.33)
Using a calculator, we can simplify this expression to get:
mass ≈ 800
Therefore, the mass of the triangular lamina is approximately 800 kilograms. The best choice is C) 800k.

Find the Mass of the Triangular Lamina with Vertices