Question

Please answer fast
10 marks

Answer 1

AB = 5.2 cm , ED = 5 cm

Explanation:

Δ ABE and Δ ACD are similar by the AA postulate

Then the ratios of corresponding sides are in proportion , that is

(a)

`(AB)/(AC)` =
`(BE)/(CD)` , substitute values

`(AB)/(11.7)` =
`(6)/(13.5)` ( cross- multiply )

13.5 × AB = 70.2 ( divide both sides by 13.5 )

AB = 5.2 cm

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(b)

`(AE)/(AD)` =
`(BE)/(CD)` , substitute values

`(4)/(AD)` =
`(6)/(13.5)` ( cross- multiply )

6 × AD = 54 ( divide both sides by 6 )

AD = 9

Then

ED = AD - AE = 9 - 4 = 5 cm