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marishachu [46]
3 years ago
6

What is the value of x?

Mathematics
1 answer:
Svetllana [295]3 years ago
3 0

Answer:

x = 4

Step-by-step explanation:

ΔTRQ is an isosceles right triangle, so if we find the value of RT then the value of 'x' will be the same

We can find RT by creating a proportion based on the ratio of sides in a 30-60-90° triangle which, respectively, is 1 : \sqrt{3} : 2

2\sqrt{3}/RT = \sqrt{3}/2

cross-multiply:

\sqrt{3}· RT = 4\sqrt{3}

RT = 4

Therefore, x = 4

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