Question

Line g bisects line segment BC at Point H. BH = 4x and HC = 24. Find BC.

Answer 1

BC=48 units

Explanation:

we know that

BC=BH+HC

if Line g bisects line segment BC

then

BH=HC

substitute the given values and solve for x

4x=24

x=6

Find the value of BC

BC=BH+HC

BC=4x+24

substitute the value of x

BC=4(6)+24

BC=24+24=48 units

Note In this problem it was not necessary to find the value of x, the calculation was done for didactic purposes.