Question

Find the perimeter of the triangle his versus are (-8 and -2) (1and 10 and (17 and -2write the exact answer do not round

Answer 1

To solve this problem, we will use the following formula for the distance between two points:

`d=√((x_2-x_1)^2+(y_2-y_1)^2).`

The distance between (-8,-2) and (1,10) is:

`d_1=√((-8-1)^2+(-2-10)^2)=√(81+144)=√(225)=15.`

The distance between (1,10) and (17,-2) is:

`d_2=√((1-17)^2+(10-(-2))^2)=√(256+144)=√(400)=20.`

The distance between (-8,-2) and (17,-2) is:

`d_3=√((-8-17)^2+(-2-(-2))^2)=√(25^2)=25.`

Therefore, the perimeter of the triangle is:

`P=15+20+25=60.`

Answer:

`60.`