Question

A triangle has vertices on a coordinate grid at L(9,7)L(9,7), M(9,-8)M(9,−8), and N(1,7).N(1,7). What is the length, in units, of \overline{LM} LM ?

Answer 1

LM = 15 units

Explanation:

Vertices of ΔLMN are,

L(9, 7), M(9, -8), N(1, 7)

By using formula to get the distance between two points
`(x_1,y_1)` and
`(x_2,y_2)`,

Distance =
`√((x_2-x_1)^2+(y_2-y_1)^2)`

Therefore, distance between vertices L and M,

LM =
`√((9-9)^2+(7+8)^2)`

LM = 15 units