Question

Someone please help asap! Thank you!

Answer 1

Answer:

The answer to your question is:

Perimeter = 26.5 units

Area = 22.5 units²

Step-by-step 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 = $\sqrt{90}$

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

dBC = $\sqrt{8^{2} + 9^{2} }$

dBC = $\sqrt{145}$

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

dAC = $\sqrt{5^{2} + 0^{2} }$

dAC = $\sqrt{25} = 5$

Perimeter = $\sqrt{90} + \sqrt{145} + 5$

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