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Someone please help asap! Thank you!

Someone please help asap! Thank you!-example-1
User Giant Elk
by
6.8k points

1 Answer

5 votes

Answer:

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

User TheIV
by
6.1k points