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43 votes
43 votes
Help pls

find x and y

Help pls find x and y-example-1
User Circey
by
2.5k points

2 Answers

13 votes
13 votes
X is 8 the answer is 8
User Magne
by
2.9k points
17 votes
17 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 Bogdan Dumitru
by
2.8k points
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