Question

ex9 urgent dau coroana si inima
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Answer 1

Răspuns:

A)

AD/AB = AE/AC

4/9 = 6/AC

AC = 9*6 / 4

AC = 9*3/2

AC = 27/2

AC = 13.5 CM

AD/AB = DE/BC

4/9 = 5/BC

BC = 9*5/4

BC = 45/4

BC = 11.25 CM

B)

AD/AB = AE/AC = DE/BC

AD/(AD+5) = 2/5 = DE/6

AD/(AD+5) = 2/5

5AD = 2(AD+5)

5AD - 2AD  = 10

3AD = 10

AD = 10/3

AD = 3.3 CM

2/5 = DE/6

5DE = 2*6

DE = 12/5

DE = 2.4CM

C)

AD/AB = AE/AC = DE/BC

3/AB = 6/13 = 8/BC

3/AB = 6/13

AB = 3*13 / 6

AB = 13/2

AB = 6.5 CM

BD = AB - AD = 6.5 - 3 = 3.5CM

6/13 = 8/BC

BC = 13 * 8 / 6

BC = 13 * 4 / 3

BC = 52/3

BC = 17.3 CM

D)

AD/AB = AE/AC = DE/BC

3/AB = AE/6 = 4/12

AE/6 = 4/12

AE = 6*4/12

AE = 2 CM

3/AB = 2/6

AB = 3*6 / 2

AB = 12/2

AB = 6 CM

BD =  AB - AD

BD = 6 - 3

BD = 3 CM