Question

Points B and C lie on line segment AD, with AB

Answer 1

Given:

Points B and C lie on the line segment AD, with AB

Required:

We need to find the value of BC.

Explanation:

Point B lies between A and C since AB < AC.

$We\text{ know that AD=AB+BC+CD.}$

Substitute AD=76, CD=24, and AB=BC in the equation.

$76=BC+BC+24$$76=2BC+24$

Subtract 24 from both sides of the equation.

$76-24=2BC+24-24$$52=2BC$

Divide both sides by 2.

$\frac{52}{2}=\frac{2BC}{2}$$26=BC$

Final answer:

$BC=26$