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Gnesinka [82]
3 years ago
8

Please answer me x and y ​

Mathematics
2 answers:
grigory [225]3 years ago
6 0

Answer: x=5√3(you've got it correct!)

y=15

In∆ADC,

Cos 60°=DC/10

DC=5

y=20-5

y=15

Mandarinka [93]3 years ago
6 0

Answer:

<h2>x = 5√3</h2><h2>y = 15</h2>

Step-by-step explanation:

Look at the picture.

ΔABC, ΔDBA and ΔDAC are the triangles 30° - 60° - 90°. The sides are in ratio 1 : √3 : 2.

Therefore

<h3>in ΔDAC:</h3>

DC : AD : AC = 1 : √3 : 2

If AC = 10, then DC = 10 : 2 = 5 and AD = x = 5√3

<h3>in ΔDBA:</h3>

AD : BD : AB =  1 : √3 : 2

If AD = 5√3, then AB = 2 · 5√3 = 10√3 and BD = y = 5√3 · √3 = 5 · 3 = 15

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