On a coordinate plane, triangle A B C is shown. Point A is at (negative 1, 6), point B is at (negative 1, 1), and point C is at (2, 2). Triangle ABC is an isosceles triangle in which AB = AC. What is the perimeter of △ABC? 5 + StartRoot 10 EndRoot units StartRoot 10 EndRoot units 10 + StartRoot 10 EndRoot units 15 units

10 +√10

Step-by-step explanation:

Given the coordinates of the triangle expressed as

A(-1,6), B(-1, 1) and C(2,2)

The perimeter of the triangle=  AB + BC + AC\

Since AB = AC

P = AC + BC + AC

P = 2AC + BC

get the length AC using the formula;

Given A(-1,6) and C(2,2)

AC = √(2-(-1))²+(2-6)

AC = √3²+4²

AC = √9+16

AC = √25

AC = 5

Get BC

B(-1, 1) and C(2,2)

BC = √(2-(-1))²+(2-1)

BC = √3²+1²

BC = √9+1

BC = √10

Perimeter = 2(5)+√10

Perimeter = 10 + √10

Hence the perimeter of the triangle is 10 +√10

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.