Question

Someone please help asap! Thank you!

Answer 1

The answer to your question is:

Perimeter = 26.5 units

Area = 22.5 units²

Explanation:

Data

A (5, 9)

B (8, 0)

C (0, 9)

Formula

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

dAB =
`\sqrt{(8 - 5)^(2) + (0 - 9)^(2) }`

dAB =
`\sqrt{3^(2) + 9^(2) }`

dAB =
`√(90)`

dBC =
`\sqrt{(0 - 8)^(2) + (9 - 0)^(2) }`

dBC =
`\sqrt{8^(2) + 9^(2) }`

dBC =
`√(145)`

dAC =
`\sqrt{(0 - 5)^(2) + (9 - 9)^(2) }`

dAC =
`\sqrt{5^(2) + 0^(2) } \\`

dAC =
`√(25) = 5`

Perimeter =
`√(90) + √(145) + 5`

Perimeter = 26.5 units

Area = 1/2 [ ( 5x0) + (8x9) + (0 x 9) - (5x 9) - (0x 0) - (8x9)]

= 1/2 [ 0 + 72 + 0 - 45 - 0 - 72]

= 1/2 [-45]

= 45/2

= 22.5 units²