Question

Work out the length of AB.

Answer 1

`(AB)/(BC)` =
`(EB)/(DC)`


`(AB)/(BC)` =
`(1.75 m)/(7 m)`

let AB = E

⇒ (AB) (7 m) = (1.75 m) ( BC + AB)
(AB) (7 m) = (1.75 m) (1.5 m + AB)
= 2.625 m² + (1.75 m ) (AB)
(AB) (7 m - 1.75 m) = 2.625 m²
∴ AB = 2.625 m² ÷ (5.25 m)

⇒ the length of AB is 0.5 m