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2 years ago

56. Find the value of x, x= E. 27 am B 9 CD *om A « 28 am

Mathematics

1 answer:

3241004551 [841]2 years ago

5 0

Answer:

x = 21

Step-by-step explanation:

Δ EAB and Δ ECD are similar by the AA postulate , then the ratios of corresponding sides are in proportion, that is

$\frac{AB}{CD}$ = $\frac{EB}{ED}$ , substitute values

$\frac{x}{28}$ = $\frac{27}{27+9}$ = $\frac{27}{36}$ ( cross- multiply )

36x = 756 ( divide both sides by 36 )

x = 21

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