Question

2. Given the coordinates, classify triangle QRT by its sides. Q(-2, -1), R(1,5), T(-8,-4)

Classify:​

Answer 1

The measure of sides of triangle with given points are

QR = 3
`√(5)` unit

RT = 9
`√(2)` unit

TQ =
`√(13)` unit

Explanation:

Given as :

The coordinate of Triangle QRT as :

Q = ( - 2 , - 1 )

R = ( 1 , 5 )

T = ( - 8 , - 4 )

Now , The Distance between the points can be measure as :

QR =
`\sqrt{(x_2-x_1)^(2)+(y_2-y_1)^(2)}`

Or, QR =
`\sqrt{(1+2)^(2)+(5+1)^(2)}`

Or, QR =
`\sqrt{(3)^(2)+(6)^(2)}`

Or, QR =
`√(45)` = 3
`√(5)` unit

Similarly

RT =
`\sqrt{(x_2-x_1)^(2)+(y_2-y_1)^(2)}`

Or, RT =
`\sqrt{(-8-1)^(2)+(-4-5)^(2)}`

Or, RT =
`\sqrt{(-9)^(2)+(-9)^(2)}`

Or, RT =
`√(162)` = 9
`√(2)` unit

And

TQ =
`\sqrt{(x_2-x_1)^(2)+(y_2-y_1)^(2)}`

Or, TQ =
`\sqrt{(-2+8)^(2)+(-1+4)^(2)}`

Or, TQ =
`\sqrt{(2)^(2)+(3)^(2)}`

Or, TQ =
`√(13)` unit

Hence The measure of sides of triangle with given points are

QR = 3
`√(5)` unit

RT = 9
`√(2)` unit

TQ =
`√(13)` unit Answer