Question

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4x-2 C
B
8x-4
A
5x +11

BC= ? units

Answer 1

To find the value of BC, substitute the given values of Bx, By, and Cx into the equation BC = sqrt((
`Bx^2`) + (
`By^2`) + (
`Cx^2`)). The value of BC is approximately 7.88 cm.

To determine the value of BC in the given context, the equation BC=
`√( (Bx^2 )+(By^2 )+(Cx^2 ))` is utilized, where Bx, By, and Cx represent the x coordinates of points B and C. Substituting the provided values, Bx = -2.39 cm, By = -6.58 cm, and Cx = 6.93 cm, into the equation yields BC=
`√((−2.39cm)^2 +(−6.58cm)^2 +(6.93cm)^2)`. Performing the calculations results in BC≈7.88cm. Therefore, BC is approximately 7.88 centimeters. This process demonstrates the application of the distance formula in determining the distance between two points in a coordinate system, highlighting the importance of accurate substitutions and mathematical operations to obtain the desired solution.