Question

1) Calculate the distance BD* A C E 4cm - 7cm В 6cm D​

Answer 1

BD = 3.5 cm

Explanation:

Δ AED and Δ ACB are similar ( AA postulate) , then the ratios of corresponding sides are in proportion, that is

`(AD)/(AB)` =
`(ED)/(CB)` ( substitute values )

`(AD)/(7)` =
`(6)/(4)` =
`(3)/(2)` ( cross- multiply )

2AD = 7 × 3 = 21 ( divide both sides by 2 )

AD = 10.5 cm

Then

BD = AD - AB = 10.5 - 7 = 3.5 cm