Question

Triangle UVW, with vertices U(-5,5), V(-4,7), and W(-9,8), is drawn on the coordinate grid below.

Answer 1

The area formula of a triangle given the coordinates of the vertices :

`U(-5,5),V(-4,7),W(-9,8)`
`A=\lvert(U_x(V_y-W_y)+V_x(W_y-U_y)+W_x(U_y-V_y))/(2)\rvert`

Using the formula above, the area will be :

`\begin{gathered} A=\lvert(-5(7-8)-4(8-5)-9(5-7))/(2)\rvert \\ A=\lvert(5-12+18)/(2)\rvert \\ A=\lvert(11)/(2)\rvert \\ A=\lvert5.5\rvert \\ A=5.5 \end{gathered}`

The answer is 5.5 square units