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Slav-nsk [51]
3 years ago
11

Please answer fast 10 marks

Mathematics
2 answers:
seropon [69]3 years ago
7 0

Answer:

AB = 5.2 cm , ED = 5 cm

Step-by-step explanation:

Δ ABE and Δ ACD are similar by the AA postulate

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

(a)

\frac{AB}{AC} = \frac{BE}{CD} , substitute values

\frac{AB}{11.7} = \frac{6}{13.5} ( cross- multiply )

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

AB = 5.2 cm

-------------------------------------------

(b)

\frac{AE}{AD} = \frac{BE}{CD} , substitute values

\frac{4}{AD} = \frac{6}{13.5} ( cross- multiply )

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

AD = 9

Then

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

sineoko [7]3 years ago
4 0

Answer:

4 cm is the answer 1ecause it is the difference between a and b

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