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16 votes
Help pls

find x and y

Help pls find x and y-example-1
User MrApnea
by
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2 Answers

9 votes
X is 8 the answer is 8
User Jonny Heald
by
5.0k points
2 votes

Answer:

x = 8, y = 6/√3.

Explanation:

The smaller triangle and the larger triangle are similar.

4 / 4√3 = (x - 6) / y

1/√3 = (x - 6) / y

Also

y/6 = 1/√3

⇒ √3y = 6

y = 6/√3

Substitute for y in the first equation:

1/√3 = (x - 6) / 6/√3

⇒ 1/√3 * 6/√3 = x - 6

⇒ x - 6 = 2

x = 8

User Avalancha
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6.1k points