Question

ABC is a straight line.

+
H
B
C
The length AB is five times the length BC.
AC = 90 cm.
Work out the length AB.
AB = cm​

Answer 1

AB = 75 cm

Explanation:

Since ABC is a straight line, then

AB + BC = AC

let BC be x then AB = 5x and summing gives

5x + x = 90

6x = 90 ( divide both sides by 6 )

x = 15

Thus

AB = 5x = 5 × 15 = 75 cm