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(AD) |(BC) [BE]|[EC] [AE] = 4 |EC| = 25 |DC| = 2 |AB| = X x=?​
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(AD) |(BC)
[BE]|[EC]
[AE] = 4
|EC| = 25
|DC| = 2
|AB| = X

x=?​

(AD) |(BC) [BE]|[EC] [AE] = 4 |EC| = 25 |DC| = 2 |AB| = X x=?​-example-1
User Jordan Camp
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1 Answer

2 votes

Answer:

A

Step-by-step explanation:

DC / EC == EC / BC == 2 / 2*sqrt(5) == 2*sqrt(5) / BC

=> BC == 2*sqrt(5) * 2*sqrt(5) / 2 == 10

=> BD = BC - 2 = 8

DE = SQRT( 2*sqrt(5) * 2*sqrt(5) - 2*2 ) = sqrt(16) = 4

=> AD = 4+4 = 8

x = sqrt( AD*AD + BD*BD ) == sqrt( 8*8 + 8*8 ) ==sqrt( 2 )*sqrt(8*8) == 8*sqrt(2)

User Mahshid Zeinaly
by
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