Mathematics: Asap! giving ∆abc has a(-3, 6), b(2, 1), and c(9, 5) as its vertices. the length of side ab is a) (50)^1/2 b) (65)^1/2 c) (105)^1/2 d) (145)^1/2 units. the length of side bc is a) (50)^1/2 b) (65)^1/2 c) (105)^1/2 d) (145)^1/2 units. the length of side ac is a) (50)^1/2 b) (65)^1/2 c) (105)^1/2 d) (145)^1/2 units. ∠abc ≈ ° a) 55.21 b) 85.16 c) 105.26 d) 114.11

It Would Take her 6 days2400÷400=6...

Asap! giving ∆abc has a(-3, 6), b(2, 1), and c(9,

HistoryLee

12.01.2022

AB is A

BC is B

AC is D

Step-by-step explanation:

To find the length of each side, use the formula for the distance between coordinate pairs.

We can find the distance using the distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We then substitute (-3,6) as (x_1,y_1) and (2,1) as (x_2,y_2) .

$d=\sqrt{(2--3)^2+(1-6)^2} \\d=\sqrt{(2+3)^2+(-5)^2} \\d=\sqrt{25+25}\\d=\sqrt{50}$

We then substitute (2,1) as (x_1,y_1) and (9,5) as (x_2,y_2) .

$d=\sqrt{(9-2)^2+(5-1)^2} \\d=\sqrt{(-7)^2+(4)^2} \\d=\sqrt{49+16}\\d=\sqrt{65}$

We then substitute (-3,6) as (x_1,y_1) and (9,5) as (x_2,y_2) .

$d=\sqrt{(9--3)^2+(5-6)^2} \\d=\sqrt{(12)^2+(-1)^2} \\d=\sqrt{144+1}\\d=\sqrt{145}$

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