Question

20 PTS!!!
Math pls help

Answer 1

The answer to your question is: 30 u²

Explanation:

Process

1.- Calculate the length of the base and the length of the height

dAB =
`\sqrt{(x2-x1)^(2) + (y2 - y1)^(2) }`

dAB =
`\sqrt{(5+ 3)^(2) + (1 - 5)^(2) }`

dAB =
`\sqrt{8^(2) + (-4)^(2) }`

dAB =
`√(64 + 16)`

dAB =
`√(80)`

dCD =
`\sqrt{(x2-x1)^(2) + (y2 - y1)^(2) }`

dCD =
`\sqrt{(-4 + 1)^(2) + (-2 - 4)^(2) }`

dCD =
`\sqrt{(-3)^(2) + (-6)^(2) }`

dCD =
`√(9 + 36)`

dCD =
`√(45)`

Area of a triangle = base x height / 2

=
`(√(80) √(45) )/(2)`

`= (√(3600) )/(2)`

`= (60)/(2)`

= 30 u²